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21021087168 = 263319163691
BaseRepresentation
bin10011100100111101…
…000101010111000000
32000020222212212112000
4103210331011113000
5321022344242133
613353522504000
71342631202264
oct234475052700
960228785460
1021021087168
118a07945a14
1240a7b05000
131ca00b9023
141035b620a4
15830715413
hex4e4f455c0

21021087168 has 112 divisors (see below), whose sum is σ = 62122629120. Its totient is φ = 6970233600.

The previous prime is 21021087151. The next prime is 21021087181. The reversal of 21021087168 is 86178012012.

It is a super-2 number, since 2×210210871682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 298203 + ... + 361893.

Almost surely, 221021087168 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 21021087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31061314560).

21021087168 is an abundant number, since it is smaller than the sum of its proper divisors (41101541952).

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

21021087168 is a wasteful number, since it uses less digits than its factorization.

21021087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63903 (or 63887 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 21021087168 in words is "twenty-one billion, twenty-one million, eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 191 192 216 288 382 432 573 576 764 864 1146 1528 1719 1728 2292 3056 3438 4584 5157 6112 6876 9168 10314 12224 13752 18336 20628 27504 36672 41256 55008 63691 82512 110016 127382 165024 191073 254764 330048 382146 509528 573219 764292 1019056 1146438 1528584 1719657 2038112 2292876 3057168 3439314 4076224 4585752 6114336 6878628 9171504 12164981 12228672 13757256 18343008 24329962 27514512 36494943 36686016 48659924 55029024 72989886 97319848 109484829 110058048 145979772 194639696 218969658 291959544 328454487 389279392 437939316 583919088 656908974 778558784 875878632 1167838176 1313817948 1751757264 2335676352 2627635896 3503514528 5255271792 7007029056 10510543584 21021087168