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981012033696 = 25347921333769
BaseRepresentation
bin11100100011010001101…
…11111011000010100000
310110210011102012210110210
432101220313323002200
5112033103040034241
62030400512254120
7130606251462462
oct16215067730240
93423142183423
10981012033696
11349054799862
1213a162b41340
1371680482516
14356a4722132
151a7b97a7316
hexe468dfb0a0

981012033696 has 48 divisors (see below), whose sum is σ = 2580532819200. Its totient is φ = 326321315328.

The previous prime is 981012033637. The next prime is 981012033721. The reversal of 981012033696 is 696330210189.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9810120336962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10620901 + ... + 10712868.

It is an arithmetic number, because the mean of its divisors is an integer number (53761100400).

Almost surely, 2981012033696 is an apocalyptic number.

981012033696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

981012033696 is an abundant number, since it is smaller than the sum of its proper divisors (1599520785504).

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

981012033696 is a wasteful number, since it uses less digits than its factorization.

981012033696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21334261 (or 21334253 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 981012033696 in words is "nine hundred eighty-one billion, twelve million, thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 479 958 1437 1916 2874 3832 5748 7664 11496 15328 22992 45984 21333769 42667538 64001307 85335076 128002614 170670152 256005228 341340304 512010456 682680608 1024020912 2048041824 10218875351 20437750702 30656626053 40875501404 61313252106 81751002808 122626504212 163502005616 245253008424 327004011232 490506016848 981012033696