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16431574536128 = 2631131439144013
BaseRepresentation
bin1110111100011100011000…
…1010011100111111000000
32011011211202200101210121102
43233013012022130333000
54123203331040124003
654540321112113532
73314066510031623
oct357070612347700
964154680353542
1016431574536128
115265656501124
121a146710958a8
1392264c47a10b
1440b4146b1dba
151d765276c588
hexef1c629cfc0

16431574536128 has 112 divisors (see below), whose sum is σ = 33992649799680. Its totient is φ = 7872041548800.

The previous prime is 16431574536127. The next prime is 16431574536149. The reversal of 16431574536128 is 82163547513461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16431574536127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114025850 + ... + 114169862.

Almost surely, 216431574536128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16431574536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996324899840).

16431574536128 is an abundant number, since it is smaller than the sum of its proper divisors (17561075263552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16431574536128 is a wasteful number, since it uses less digits than its factorization.

16431574536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144626 (or 144616 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 56.

The spelling of 16431574536128 in words is "sixteen trillion, four hundred thirty-one billion, five hundred seventy-four million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 131 248 262 439 496 524 878 992 1048 1756 1984 2096 3512 4061 4192 7024 8122 8384 13609 14048 16244 27218 28096 32488 54436 57509 64976 108872 115018 129952 144013 217744 230036 259904 288026 435488 460072 576052 870976 920144 1152104 1782779 1840288 2304208 3565558 3680576 4464403 4608416 7131116 8928806 9216832 14262232 17857612 18865703 28524464 35715224 37731406 57048928 63221707 71430448 75462812 114097856 126443414 142860896 150925624 252886828 285721792 301851248 505773656 584836793 603702496 1011547312 1169673586 1207404992 1959872917 2023094624 2339347172 3919745834 4046189248 4678694344 7839491668 8282043617 9357388688 15678983336 16564087234 18714777376 31357966672 33128174468 37429554752 62715933344 66256348936 125431866688 132512697872 256743352127 265025395744 513486704254 530050791488 1026973408508 2053946817016 4107893634032 8215787268064 16431574536128