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998509985952 = 25343797303497
BaseRepresentation
bin11101000011110111101…
…01010100000010100000
310112110022212200212110120
432201323311110002200
5112324422024022302
62042413102200240
7132066002561523
oct16417365240240
93473285625416
10998509985952
11355513946326
12141626b83080
137320b69191b
14364845c2bba
151ae90a409bc
hexe87bd540a0

998509985952 has 96 divisors (see below), whose sum is σ = 2685418287552. Its totient is φ = 324687304704.

The previous prime is 998509985947. The next prime is 998509985971. The reversal of 998509985952 is 259589905899.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138268 + ... + 3441764.

It is an arithmetic number, because the mean of its divisors is an integer number (27973107162).

Almost surely, 2998509985952 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 998509985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342709143776).

998509985952 is an abundant number, since it is smaller than the sum of its proper divisors (1686908301600).

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

998509985952 is a wasteful number, since it uses less digits than its factorization.

998509985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304350 (or 304342 counting only the distinct ones).

The product of its (nonzero) digits is 944784000, while the sum is 78.

The spelling of 998509985952 in words is "nine hundred ninety-eight billion, five hundred nine million, nine hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 797 1032 1376 1594 2064 2391 3188 4128 4782 6376 9564 12752 19128 25504 34271 38256 68542 76512 102813 137084 205626 274168 303497 411252 548336 606994 822504 910491 1096672 1213988 1645008 1820982 2427976 3290016 3641964 4855952 7283928 9711904 13050371 14567856 26100742 29135712 39151113 52201484 78302226 104402968 156604452 208805936 241887109 313208904 417611872 483774218 626417808 725661327 967548436 1252835616 1451322654 1935096872 2902645308 3870193744 5805290616 7740387488 10401145687 11610581232 20802291374 23221162464 31203437061 41604582748 62406874122 83209165496 124813748244 166418330992 249627496488 332836661984 499254992976 998509985952