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30865227264 = 29328380701
BaseRepresentation
bin11100101111101101…
…011111111000000000
32221200001101000001100
4130233231133320000
51001202444233024
622102420534400
72141604050214
oct345755377000
987601330040
1030865227264
11120a9686093
125b94851400
132bab7052b1
1416cb312944
15c09a877c9
hex72fb5fe00

30865227264 has 120 divisors (see below), whose sum is σ = 90153495432. Its totient is φ = 10164326400.

The previous prime is 30865227257. The next prime is 30865227277. The reversal of 30865227264 is 46272256803.

30865227264 is a `hidden beast` number, since 308 + 65 + 2 + 27 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342114 + ... + 422814.

Almost surely, 230865227264 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 30865227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45076747716).

30865227264 is an abundant number, since it is smaller than the sum of its proper divisors (59288268168).

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

30865227264 is an equidigital number, since it uses as much as digits as its factorization.

30865227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80808 (or 80789 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 30865227264 in words is "thirty billion, eight hundred sixty-five million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1152 1328 1494 1536 1992 2304 2656 2988 3984 4608 5312 5976 7968 10624 11952 15936 21248 23904 31872 42496 47808 63744 80701 95616 127488 161402 191232 242103 322804 382464 484206 645608 726309 968412 1291216 1452618 1936824 2582432 2905236 3873648 5164864 5810472 6698183 7747296 10329728 11620944 13396366 15494592 20094549 20659456 23241888 26792732 30989184 40189098 41318912 46483776 53585464 60283647 61978368 80378196 92967552 107170928 120567294 123956736 160756392 185935104 214341856 241134588 321512784 371870208 428683712 482269176 643025568 857367424 964538352 1286051136 1714734848 1929076704 2572102272 3429469696 3858153408 5144204544 7716306816 10288409088 15432613632 30865227264