Search a number
-
+
152157099186 = 2351571994143
BaseRepresentation
bin1000110110110101000…
…1010001010010110010
3112112202002102111200000
42031231101101102302
54443104204133221
6153522222410430
713664411001111
oct2155521212262
9475662374600
10152157099186
1159590796754
12255a5130a16
131146b43cb01
147516061c78
153e58174e26
hex236d4514b2

152157099186 has 48 divisors (see below), whose sum is σ = 344061629184. Its totient is φ = 50395956624.

The previous prime is 152157099181. The next prime is 152157099187. The reversal of 152157099186 is 681990751251.

It is a happy number.

152157099186 is a `hidden beast` number, since 1 + 52 + 1 + 570 + 9 + 9 + 18 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152157099181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920770 + ... + 1073373.

It is an arithmetic number, because the mean of its divisors is an integer number (7167950608).

Almost surely, 2152157099186 is an apocalyptic number.

152157099186 is an abundant number, since it is smaller than the sum of its proper divisors (191904529998).

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

152157099186 is a wasteful number, since it uses less digits than its factorization.

152157099186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994317 (or 1994305 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 152157099186 in words is "one hundred fifty-two billion, one hundred fifty-seven million, ninety-nine thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 243 314 471 486 942 1413 2826 4239 8478 12717 25434 38151 76302 1994143 3988286 5982429 11964858 17947287 35894574 53841861 107683722 161525583 313080451 323051166 484576749 626160902 939241353 969153498 1878482706 2817724059 5635448118 8453172177 16906344354 25359516531 50719033062 76078549593 152157099186