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21896372432 = 24111376011511
BaseRepresentation
bin10100011001001000…
…000010000011010000
32002111222212222011202
4110121020002003100
5324320432404212
614020431130332
71403420044334
oct243110020320
962458788152
1021896372432
119316a27770
1242b10739a8
1320ac53b2bc
1410ba0c77c4
158824ae0c2
hex5192020d0

21896372432 has 80 divisors (see below), whose sum is σ = 46727259264. Its totient is φ = 9857280000.

The previous prime is 21896372429. The next prime is 21896372441. The reversal of 21896372432 is 23427369812.

It is a super-2 number, since 2×218963724322 (a number of 21 digits) contains 22 as substring.

Its product of digits (870912) is a multiple of the sum of its prime factors (2268).

It is a congruent number.

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, 14490557 + ... + 14492067.

Almost surely, 221896372432 is an apocalyptic number.

21896372432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21896372432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363629632).

21896372432 is an abundant number, since it is smaller than the sum of its proper divisors (24830886832).

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

21896372432 is a wasteful number, since it uses less digits than its factorization.

21896372432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The spelling of 21896372432 in words is "twenty-one billion, eight hundred ninety-six million, three hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 601 1096 1202 1507 1511 2192 2404 3014 3022 4808 6028 6044 6611 9616 12056 12088 13222 16621 24112 24176 26444 33242 52888 66484 82337 105776 132968 164674 207007 265936 329348 414014 658696 828028 905707 908111 1317392 1656056 1811414 1816222 2277077 3312112 3622828 3632444 4554154 7245656 7264888 9108308 9989221 14491312 14529776 18216616 19978442 36433232 39956884 79913768 124411207 159827536 248822414 497644828 995289656 1368523277 1990579312 2737046554 5474093108 10948186216 21896372432