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21957867468 = 223289277003
BaseRepresentation
bin10100011100110010…
…100111011111001100
32002200021121020111200
4110130302213133030
5324432203224333
614030505145500
71405064536215
oct243462473714
962607536450
1021957867468
119348709909
12430978b290
1320bc1bc8b4
1410c433440c
15887aa9c13
hex51cca77cc

21957867468 has 54 divisors (see below), whose sum is σ = 56135993004. Its totient is φ = 7236955968.

The previous prime is 21957867457. The next prime is 21957867473. The reversal of 21957867468 is 86476875912.

21957867468 is a `hidden beast` number, since 2 + 1 + 95 + 7 + 86 + 7 + 468 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 246655 + ... + 323657.

It is an arithmetic number, because the mean of its divisors is an integer number (1039555426).

Almost surely, 221957867468 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 21957867468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28067996502).

21957867468 is an abundant number, since it is smaller than the sum of its proper divisors (34178125536).

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

21957867468 is a wasteful number, since it uses less digits than its factorization.

21957867468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77191 (or 77097 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 21957867468 in words is "twenty-one billion, nine hundred fifty-seven million, eight hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7921 15842 23763 31684 47526 71289 77003 95052 142578 154006 231009 285156 308012 462018 693027 924036 1386054 2772108 6853267 13706534 20559801 27413068 41119602 61679403 82239204 123358806 246717612 609940763 1219881526 1829822289 2439763052 3659644578 5489466867 7319289156 10978933734 21957867468