Search a number
-
+
64140153246 = 23213279266897
BaseRepresentation
bin111011101111000011…
…010001000110011110
320010120001000101022100
4323233003101012132
52022324334400441
645244322025530
74430311210221
oct735703210636
9203501011270
1064140153246
1125224498514
12105204a82a6
136082410900
14316668b5b8
151a05e5ecb6
hexeef0d119e

64140153246 has 72 divisors (see below), whose sum is σ = 152388082080. Its totient is φ = 19485543168.

The previous prime is 64140153239. The next prime is 64140153361. The reversal of 64140153246 is 64235104146.

64140153246 is a `hidden beast` number, since 6 + 4 + 1 + 401 + 5 + 3 + 246 = 666.

It is a super-2 number, since 2×641401532462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64140153246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106870 + ... + 373766.

It is an arithmetic number, because the mean of its divisors is an integer number (2116501140).

Almost surely, 264140153246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64140153246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76194041040).

64140153246 is an abundant number, since it is smaller than the sum of its proper divisors (88247928834).

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

64140153246 is a wasteful number, since it uses less digits than its factorization.

64140153246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267010 (or 266994 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 64140153246 in words is "sixty-four billion, one hundred forty million, one hundred fifty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 169 234 237 338 474 507 711 1014 1027 1422 1521 2054 3042 3081 6162 9243 13351 18486 26702 40053 80106 120159 240318 266897 533794 800691 1601382 2402073 3469661 4804146 6939322 10408983 20817966 21084863 31226949 42169726 45105593 62453898 63254589 90211186 126509178 135316779 189763767 270633558 274103219 379527534 405950337 548206438 811900674 822309657 1644619314 2466928971 3563341847 4933857942 7126683694 10690025541 21380051082 32070076623 64140153246