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21374443203264 = 263270999522661
BaseRepresentation
bin1001101110000101000000…
…00110000010101011000000
32210200101011200211111210100
410313002200012002223000
510300144324430001024
6113243141134002400
74334152425340314
oct467024006025300
983611150744710
1021374443203264
1168a0939a59708
122492615946400
13bc07a8204378
1453c758581b44
15270ee94db7c9
hex1370a0182ac0

21374443203264 has 84 divisors (see below), whose sum is σ = 61266962302000. Its totient is φ = 7124700418560.

The previous prime is 21374443203263. The next prime is 21374443203301. The reversal of 21374443203264 is 46230234447312.

21374443203264 is a `hidden beast` number, since 21 + 3 + 7 + 4 + 44 + 320 + 3 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (21374443203263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40634094 + ... + 41156754.

Almost surely, 221374443203264 is an apocalyptic number.

21374443203264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21374443203264 is an abundant number, since it is smaller than the sum of its proper divisors (39892519098736).

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

21374443203264 is a wasteful number, since it uses less digits than its factorization.

21374443203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593678 (or 593665 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 21374443203264 in words is "twenty-one trillion, three hundred seventy-four billion, four hundred forty-three million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 70999 141998 212997 283996 425994 522661 567992 638991 851988 1045322 1135984 1277982 1567983 1703976 2090644 2271968 2555964 3135966 3407952 4181288 4543936 4703949 5111928 6271932 6815904 8362576 9407898 10223856 12543864 13631808 16725152 18815796 20447712 25087728 33450304 37631592 40895424 50175456 75263184 100350912 150526368 301052736 37108408339 74216816678 111325225017 148433633356 222650450034 296867266712 333975675051 445300900068 593734533424 667951350102 890601800136 1187469066848 1335902700204 1781203600272 2374938133696 2671805400408 3562407200544 5343610800816 7124814401088 10687221601632 21374443203264