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135862045344 = 25323115217523
BaseRepresentation
bin111111010001000000…
…0100100101010100000
3110222200110102000002100
41332202000210222200
54211221140422334
6142225243050400
712546534221364
oct1764200445240
9428613360070
10135862045344
1152689645603
12223b7b10a00
13ca724cb20c
14680bc472a4
1538027eac99
hex1fa2024aa0

135862045344 has 72 divisors (see below), whose sum is σ = 398820868992. Its totient is φ = 43826463360.

The previous prime is 135862045339. The next prime is 135862045369. The reversal of 135862045344 is 443540268531.

135862045344 is a `hidden beast` number, since 1 + 3 + 58 + 62 + 0 + 4 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1358620453442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135862045344.

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, 7599834 + ... + 7617689.

It is an arithmetic number, because the mean of its divisors is an integer number (5539178736).

Almost surely, 2135862045344 is an apocalyptic number.

It is an amenable number.

135862045344 is an abundant number, since it is smaller than the sum of its proper divisors (262958823648).

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

135862045344 is a wasteful number, since it uses less digits than its factorization.

135862045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217570 (or 15217559 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 135862045344 in words is "one hundred thirty-five billion, eight hundred sixty-two million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 15217523 30435046 45652569 60870092 91305138 121740184 136957707 182610276 243480368 273915414 365220552 471743213 486960736 547830828 730441104 943486426 1095661656 1415229639 1460882208 1886972852 2191323312 2830459278 3773945704 4245688917 4382646624 5660918556 7547891408 8491377834 11321837112 15095782816 16982755668 22643674224 33965511336 45287348448 67931022672 135862045344