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21264077232 = 243443381569
BaseRepresentation
bin10011110011011100…
…000001000110110000
32000212221010001020000
4103303130001012300
5322022100432412
613434002550000
71351641450156
oct236334010660
960787101200
1021264077232
119022020a52
124155368300
13200b545b28
14105a1353d6
15846c124dc
hex4f37011b0

21264077232 has 100 divisors (see below), whose sum is σ = 62975839080. Its totient is φ = 6923169792.

The previous prime is 21264077201. The next prime is 21264077239. The reversal of 21264077232 is 23277046212.

It is a happy number.

21264077232 is a `hidden beast` number, since 2 + 1 + 2 + 640 + 7 + 7 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21264077239) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135057 + ... + 246512.

Almost surely, 221264077232 is an apocalyptic number.

It is an amenable number.

21264077232 is an abundant number, since it is smaller than the sum of its proper divisors (41711761848).

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

21264077232 is a wasteful number, since it uses less digits than its factorization.

21264077232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381632 (or 381617 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 21264077232 in words is "twenty-one billion, two hundred sixty-four million, seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4644 6192 6966 9288 13932 18576 27864 55728 381569 763138 1144707 1526276 2289414 3052552 3434121 4578828 6105104 6868242 9157656 10302363 13736484 16407467 18315312 20604726 27472968 30907089 32814934 41209452 49222401 54945936 61814178 65629868 82418904 98444802 123628356 131259736 147667203 164837808 196889604 247256712 262519472 295334406 393779208 443001609 494513424 590668812 787558416 886003218 1181337624 1329004827 1772006436 2362675248 2658009654 3544012872 5316019308 7088025744 10632038616 21264077232