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643153068 = 22332927397
BaseRepresentation
bin100110010101011…
…011110010101100
31122211012120011000
4212111123302230
52304121344233
6143453000300
721636465555
oct4625336254
91584176130
10643153068
11300052468
1215b483090
13a332765c
14615bb32c
153b6e3d13
hex2655bcac

643153068 has 144 divisors (see below), whose sum is σ = 1768617760. Its totient is φ = 202051584.

The previous prime is 643153067. The next prime is 643153079. The reversal of 643153068 is 860351346.

643153068 is a `hidden beast` number, since 64 + 3 + 1 + 530 + 68 = 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 (643153067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6630396 + ... + 6630492.

Almost surely, 2643153068 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 643153068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884308880).

643153068 is an abundant number, since it is smaller than the sum of its proper divisors (1125464692).

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

643153068 is a wasteful number, since it uses less digits than its factorization.

643153068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 643153068 is about 25360.4626929400. The cubic root of 643153068 is about 863.1867830467.

The spelling of 643153068 in words is "six hundred forty-three million, one hundred fifty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 73 87 97 108 116 146 174 194 219 261 291 292 348 388 438 522 582 657 783 841 873 876 1044 1164 1314 1566 1682 1746 1971 2117 2523 2619 2628 2813 3132 3364 3492 3942 4234 5046 5238 5626 6351 7081 7569 7884 8439 8468 10092 10476 11252 12702 14162 15138 16878 19053 21243 22707 25317 25404 28324 30276 33756 38106 42486 45414 50634 57159 61393 63729 75951 76212 81577 84972 90828 101268 114318 122786 127458 151902 163154 184179 191187 205349 228636 244731 245572 254916 303804 326308 368358 382374 410698 489462 552537 616047 734193 736716 764748 821396 978924 1105074 1232094 1468386 1657611 1848141 2202579 2210148 2464188 2936772 3315222 3696282 4405158 5544423 5955121 6630444 7392564 8810316 11088846 11910242 17865363 22177692 23820484 35730726 53596089 71461452 107192178 160788267 214384356 321576534 643153068