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20137115416 = 2311973137537
BaseRepresentation
bin10010110000010000…
…111111111100011000
31220222101112110020111
4102300100333330120
5312220100143131
613130104134104
71312005441205
oct226020777430
956871473214
1020137115416
1185a3970950
123a9ba67334
131b8bc15012
14d905b8cac
157ccd02ab1
hex4b043ff18

20137115416 has 64 divisors (see below), whose sum is σ = 41752680480. Its totient is φ = 9028730880.

The previous prime is 20137115389. The next prime is 20137115447. The reversal of 20137115416 is 61451173102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2668000 + ... + 2675536.

Almost surely, 220137115416 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 20137115416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876340240).

20137115416 is an abundant number, since it is smaller than the sum of its proper divisors (21615565064).

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

20137115416 is a wasteful number, since it uses less digits than its factorization.

20137115416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 20137115416 its reverse (61451173102), we get a palindrome (81588288518).

The spelling of 20137115416 in words is "twenty billion, one hundred thirty-seven million, one hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 97 194 313 388 626 776 1067 1252 2134 2504 3443 4268 6886 7537 8536 13772 15074 27544 30148 30361 60296 60722 82907 121444 165814 242888 331628 333971 663256 667942 731089 1335884 1462178 2359081 2671768 2924356 4718162 5848712 8041979 9436324 16083958 18872648 25949891 32167916 51899782 64335832 103799564 207599128 228830857 457661714 915323428 1830646856 2517139427 5034278854 10068557708 20137115416