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135074103792 = 24322912288401
BaseRepresentation
bin111110111001100001…
…0110100000111110000
3110220122112202102110220
41331303002310013300
54203112432310132
6142015134453040
712521155636605
oct1756302640760
9426575672426
10135074103792
11523148a0441
1222218064180
13c9781aab04
14677533a6ac
1537a8556a2c
hex1f730b41f0

135074103792 has 40 divisors (see below), whose sum is σ = 350465225040. Its totient is φ = 44828083200.

The previous prime is 135074103779. The next prime is 135074103833. The reversal of 135074103792 is 297301470531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6133209 + ... + 6155192.

It is an arithmetic number, because the mean of its divisors is an integer number (8761630626).

Almost surely, 2135074103792 is an apocalyptic number.

135074103792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135074103792 is an abundant number, since it is smaller than the sum of its proper divisors (215391121248).

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

135074103792 is a wasteful number, since it uses less digits than its factorization.

135074103792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288641 (or 12288635 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 135074103792 in words is "one hundred thirty-five billion, seventy-four million, one hundred three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 12288401 24576802 36865203 49153604 73730406 98307208 147460812 196614416 294921624 589843248 2814043829 5628087658 8442131487 11256175316 16884262974 22512350632 33768525948 45024701264 67537051896 135074103792