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21082928896 = 281743113997
BaseRepresentation
bin10011101000101000…
…111111011100000000
32000102022020202102101
4103220220333130000
5321134212211041
613404012200144
71344311640001
oct235050773400
960368222371
1021082928896
118a39844587
124104769054
131cacb5c373
14104005d1a8
15835d7db31
hex4e8a3f700

21082928896 has 144 divisors (see below), whose sum is σ = 46044893664. Its totient is φ = 9595256832.

The previous prime is 21082928873. The next prime is 21082928897. The reversal of 21082928896 is 69882928012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21082928897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21145870 + ... + 21146866.

It is an arithmetic number, because the mean of its divisors is an integer number (319756206).

Almost surely, 221082928896 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 21082928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022446832).

21082928896 is an abundant number, since it is smaller than the sum of its proper divisors (24961964768).

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

21082928896 is a wasteful number, since it uses less digits than its factorization.

21082928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 21082928896 in words is "twenty-one billion, eighty-two million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 113 128 136 172 226 256 272 344 452 544 688 731 904 997 1088 1376 1462 1808 1921 1994 2176 2752 2924 3616 3842 3988 4352 4859 5504 5848 7232 7684 7976 9718 11008 11696 14464 15368 15952 16949 19436 23392 28928 30736 31904 33898 38872 42871 46784 61472 63808 67796 77744 82603 85742 93568 112661 122944 127616 135592 155488 165206 171484 187136 225322 245888 255232 271184 310976 330412 342968 450644 491776 542368 621952 660824 685936 728807 901288 1084736 1243904 1321648 1371872 1457614 1802576 1915237 2169472 2643296 2743744 2915228 3605152 3830474 4338944 4844423 5286592 5487488 5830456 7210304 7660948 9688846 10573184 10974976 11660912 14420608 15321896 19377692 21146368 23321824 28841216 30643792 38755384 46643648 61287584 77510768 82355191 93287296 122575168 155021536 164710382 186574592 245150336 310043072 329420764 490300672 620086144 658841528 1240172288 1317683056 2635366112 5270732224 10541464448 21082928896