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643001000136 = 2331110124114949
BaseRepresentation
bin10010101101101011101…
…10001010000011001000
32021110200211211012020220
421112311312022003020
541013331224001021
61211220210550040
764312110215235
oct11266566120310
92243624735226
10643001000136
11228771335440
12a474b898320
13488336845a1
142319b23878c
1511ad5044cc6
hex95b5d8a0c8

643001000136 has 64 divisors (see below), whose sum is σ = 1771001928000. Its totient is φ = 192919584000.

The previous prime is 643001000123. The next prime is 643001000203. The reversal of 643001000136 is 631000100346.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12030811 + ... + 12084138.

It is an arithmetic number, because the mean of its divisors is an integer number (27671905125).

Almost surely, 2643001000136 is an apocalyptic number.

643001000136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

643001000136 is an abundant number, since it is smaller than the sum of its proper divisors (1128000927864).

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

643001000136 is a wasteful number, since it uses less digits than its factorization.

643001000136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24115070 (or 24115066 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 643001000136 in words is "six hundred forty-three billion, one million, one hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 24114949 48229898 72344847 96459796 144689694 192919592 265264439 289379388 530528878 578758776 795793317 1061057756 1591586634 2122115512 2435609849 3183173268 4871219698 6366346536 7306829547 9742439396 14613659094 19484878792 26791708339 29227318188 53583416678 58454636376 80375125017 107166833356 160750250034 214333666712 321500500068 643001000136