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151830132048 = 2433750208377
BaseRepresentation
bin1000110101100111000…
…1111111010101010000
3112111220022011212002000
42031121301333111100
54441422003211143
6153425542354000
713653330554130
oct2153161772520
9474808155060
10151830132048
1159433173481
122551372b900
131141878c62a
1474c486cac0
153e395dabd3
hex2359c7f550

151830132048 has 80 divisors (see below), whose sum is σ = 498067109760. Its totient is φ = 43380036864.

The previous prime is 151830132037. The next prime is 151830132067. The reversal of 151830132048 is 840231038151.

151830132048 is a `hidden beast` number, since 1 + 518 + 3 + 0 + 132 + 0 + 4 + 8 = 666.

151830132048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 25101165 + ... + 25107212.

It is an arithmetic number, because the mean of its divisors is an integer number (6225838872).

Almost surely, 2151830132048 is an apocalyptic number.

151830132048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151830132048 is an abundant number, since it is smaller than the sum of its proper divisors (346236977712).

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

151830132048 is a wasteful number, since it uses less digits than its factorization.

151830132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50208401 (or 50208389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 151830132048 in words is "one hundred fifty-one billion, eight hundred thirty million, one hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 50208377 100416754 150625131 200833508 301250262 351458639 401667016 451875393 602500524 702917278 803334032 903750786 1054375917 1205001048 1355626179 1405834556 1807501572 2108751834 2410002096 2711252358 2811669112 3163127751 3615003144 4217503668 5422504716 5623338224 6326255502 7230006288 8435007336 9489383253 10845009432 12652511004 16870014672 18978766506 21690018864 25305022008 37957533012 50610044016 75915066024 151830132048