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21976468308 = 22322926380039
BaseRepresentation
bin10100011101111001…
…100100101101010100
32002201120121021001200
4110131321210231110
5330001433441213
614032411552500
71405411620114
oct243571445524
962646537050
1021976468308
119358163a03
124313a5b730
1320c3003202
1410c69b7044
15889531273
hex51de64b54

21976468308 has 72 divisors (see below), whose sum is σ = 57686428800. Its totient is φ = 7045905216.

The previous prime is 21976468307. The next prime is 21976468321. The reversal of 21976468308 is 80386467912.

21976468308 is a `hidden beast` number, since 219 + 7 + 64 + 68 + 308 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21976468307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234553 + ... + 314591.

It is an arithmetic number, because the mean of its divisors is an integer number (801200400).

Almost surely, 221976468308 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 21976468308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28843214400).

21976468308 is an abundant number, since it is smaller than the sum of its proper divisors (35709960492).

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

21976468308 is a wasteful number, since it uses less digits than its factorization.

21976468308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80341 (or 80336 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21976468308 in words is "twenty-one billion, nine hundred seventy-six million, four hundred sixty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 263 348 522 526 789 1044 1052 1578 2367 3156 4734 7627 9468 15254 22881 30508 45762 68643 80039 91524 137286 160078 240117 274572 320156 480234 720351 960468 1440702 2321131 2881404 4642262 6963393 9284524 13926786 20890179 21050257 27853572 41780358 42100514 63150771 83560716 84201028 126301542 189452313 252603084 378904626 610457453 757809252 1220914906 1831372359 2441829812 3662744718 5494117077 7325489436 10988234154 21976468308