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21291305418 = 23219972512557
BaseRepresentation
bin10011110101000011…
…111000100111001010
32000221211100101021100
4103311003320213022
5322101033233133
613440414322230
71352422052505
oct236503704712
960854311240
1021291305418
119036428989
1241624b9376
13201408a296
14105d9c213c
158492dee13
hex4f50f89ca

21291305418 has 96 divisors (see below), whose sum is σ = 49274447040. Its totient is φ = 6625152000.

The previous prime is 21291305339. The next prime is 21291305443. The reversal of 21291305418 is 81450319212.

21291305418 is a `hidden beast` number, since 21 + 2 + 91 + 3 + 0 + 541 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8325396 + ... + 8327952.

It is an arithmetic number, because the mean of its divisors is an integer number (513275490).

Almost surely, 221291305418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21291305418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637223520).

21291305418 is an abundant number, since it is smaller than the sum of its proper divisors (27983141622).

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

21291305418 is a wasteful number, since it uses less digits than its factorization.

21291305418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21291305418 in words is "twenty-one billion, two hundred ninety-one million, three hundred five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 251 291 342 502 582 753 873 1506 1746 1843 2259 2557 3686 4518 4769 5114 5529 7671 9538 11058 14307 15342 16587 23013 24347 28614 33174 42921 46026 48583 48694 73041 85842 97166 145749 146082 219123 248029 291498 437247 438246 462593 496058 641807 744087 874494 925186 1283614 1387779 1488174 1925421 2232261 2775558 3850842 4163337 4464522 4712551 5776263 8326674 9425102 11552526 12194333 14137653 24388666 28275306 36582999 42412959 62255279 73165998 84825918 109748997 124510558 186765837 219497994 373531674 560297511 1120595022 1182850301 2365700602 3548550903 7097101806 10645652709 21291305418