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21278051712 = 273227496719
BaseRepresentation
bin10011110100010001…
…010100110110000000
32000220220102000121100
4103310101110312000
5322034140123322
613435222254400
71352201312121
oct236421246600
960826360540
1021278051712
1190299a6205
124159b87400
1320113c9758
14105bd32048
15848072dac
hex4f4454d80

21278051712 has 96 divisors (see below), whose sum is σ = 61261200000. Its totient is φ = 7089048576.

The previous prime is 21278051689. The next prime is 21278051719. The reversal of 21278051712 is 21715087212.

21278051712 is a `hidden beast` number, since 2 + 127 + 8 + 0 + 517 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212780517122 (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 not an unprimeable number, because it can be changed into a prime (21278051719) 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, 3163489 + ... + 3170207.

It is an arithmetic number, because the mean of its divisors is an integer number (638137500).

Almost surely, 221278051712 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 21278051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30630600000).

21278051712 is an abundant number, since it is smaller than the sum of its proper divisors (39983148288).

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

21278051712 is a wasteful number, since it uses less digits than its factorization.

21278051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 21278051712 in words is "twenty-one billion, two hundred seventy-eight million, fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2749 5498 6719 8247 10996 13438 16494 20157 21992 24741 26876 32988 40314 43984 49482 53752 60471 65976 80628 87968 98964 107504 120942 131952 161256 175936 197928 215008 241884 263904 322512 351872 395856 430016 483768 527808 645024 791712 860032 967536 1055616 1290048 1583424 1935072 2580096 3166848 3870144 7740288 18470531 36941062 55411593 73882124 110823186 147764248 166234779 221646372 295528496 332469558 443292744 591056992 664939116 886585488 1182113984 1329878232 1773170976 2364227968 2659756464 3546341952 5319512928 7092683904 10639025856 21278051712