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136164160432 = 2417311312941
BaseRepresentation
bin111111011010000000…
…1000011001110110000
3111000110111220001002001
41332310001003032300
54212331011113212
6142315234303344
712560163160366
oct1766401031660
9430414801061
10136164160432
11528241340a3
1222481127b54
13cabcc89941
14683a00b636
15381e0c6657
hex1fb40433b0

136164160432 has 120 divisors (see below), whose sum is σ = 290874347136. Its totient is φ = 61471488000.

The previous prime is 136164160417. The next prime is 136164160439. The reversal of 136164160432 is 234061461631.

It is a junction number, because it is equal to n+sod(n) for n = 136164160391 and 136164160400.

It is not an unprimeable number, because it can be changed into a prime (136164160439) 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, 144701082 + ... + 144702022.

Almost surely, 2136164160432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136164160432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145437173568).

136164160432 is an abundant number, since it is smaller than the sum of its proper divisors (154710186704).

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

136164160432 is a wasteful number, since it uses less digits than its factorization.

136164160432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 136164160432 in words is "one hundred thirty-six billion, one hundred sixty-four million, one hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 131 136 248 262 272 496 524 527 941 1048 1054 1882 2096 2108 2227 3764 4061 4216 4454 7528 8122 8432 8908 15056 15997 16244 17161 17816 29171 31994 32488 34322 35632 58342 63988 64976 68644 69037 116684 123271 127976 137288 138074 233368 246542 255952 274576 276148 291737 466736 493084 495907 531991 552296 583474 986168 991814 1063982 1104592 1166948 1972336 1983628 2095607 2127964 2333896 3821401 3967256 4191214 4255928 4667792 7642802 7934512 8382428 8511856 9043847 15285604 16148501 16764856 18087694 30571208 32297002 33529712 36175388 61142416 64594004 64963817 72350776 129188008 129927634 144701552 258376016 259855268 274524517 500603531 519710536 549049034 1001207062 1039421072 1098098068 2002414124 2196196136 4004828248 4392392272 8009656496 8510260027 17020520054 34041040108 68082080216 136164160432