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34758455136 = 2531721298073
BaseRepresentation
bin100000010111110000…
…111110111101100000
310022201101011110200020
4200113300332331200
51032141131031021
623545014153440
72340226664616
oct402760767540
9108641143606
1034758455136
1113817272889
1268a0652880
13337c181922
14197a3d16b6
15d8676b7c6
hex817c3ef60

34758455136 has 48 divisors (see below), whose sum is σ = 96608063664. Its totient is φ = 10904612864.

The previous prime is 34758455131. The next prime is 34758455143. The reversal of 34758455136 is 63155485743.

34758455136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34758455131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10647405 + ... + 10650668.

It is an arithmetic number, because the mean of its divisors is an integer number (2012667993).

Almost surely, 234758455136 is an apocalyptic number.

It is an amenable number.

34758455136 is an abundant number, since it is smaller than the sum of its proper divisors (61849608528).

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

34758455136 is a wasteful number, since it uses less digits than its factorization.

34758455136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21298103 (or 21298095 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 34758455136 in words is "thirty-four billion, seven hundred fifty-eight million, four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 21298073 42596146 63894219 85192292 127788438 170384584 255576876 340769168 362067241 511153752 681538336 724134482 1022307504 1086201723 1448268964 2044615008 2172403446 2896537928 4344806892 5793075856 8689613784 11586151712 17379227568 34758455136