Search a number
-
+
136236532032 = 2632619382103
BaseRepresentation
bin111111011100001010…
…1001000000101000000
3111000122120001220020200
41332320111020011000
54213003023011112
6142330341405200
712562032262326
oct1767025100500
9430576056220
10136236532032
1152860a74a37
12224a1409800
13cb01c78a83
146845889d16
15382561ecdc
hex1fb8548140

136236532032 has 84 divisors (see below), whose sum is σ = 391129296480. Its totient is φ = 45338694912.

The previous prime is 136236532001. The next prime is 136236532057. The reversal of 136236532032 is 230235632631.

136236532032 is a `hidden beast` number, since 1 + 3 + 62 + 36 + 532 + 0 + 32 = 666.

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 11 ways as a sum of consecutive naturals, for example, 165493 + ... + 547595.

Almost surely, 2136236532032 is an apocalyptic number.

136236532032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136236532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195564648240).

136236532032 is an abundant number, since it is smaller than the sum of its proper divisors (254892764448).

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

136236532032 is a wasteful number, since it uses less digits than its factorization.

136236532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382740 (or 382727 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 136236532032 in words is "one hundred thirty-six billion, two hundred thirty-six million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 19808 22284 29712 39616 44568 59424 89136 118848 178272 356544 382103 764206 1146309 1528412 2292618 3056824 3438927 4585236 6113648 6877854 9170472 12227296 13755708 18340944 24454592 27511416 36681888 55022832 73363776 110045664 220091328 236521757 473043514 709565271 946087028 1419130542 1892174056 2128695813 2838261084 3784348112 4257391626 5676522168 7568696224 8514783252 11353044336 15137392448 17029566504 22706088672 34059133008 45412177344 68118266016 136236532032