Search a number
-
+
76232902704 = 2437271911919
BaseRepresentation
bin100011011111111010…
…1011100100000110000
321021202210122200222220
41012333311130200300
52222111110341304
655004303401040
75336056660440
oct1067765344060
9237683580886
1076232902704
112a36a539132
12129362b3180
13725b84a96a
143992730120
151eb2901ad9
hex11bfd5c830

76232902704 has 160 divisors (see below), whose sum is σ = 226393128960. Its totient is φ = 21653049600.

The previous prime is 76232902693. The next prime is 76232902721. The reversal of 76232902704 is 40720923267.

It is a super-2 number, since 2×762329027042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82951557 + ... + 82952475.

It is an arithmetic number, because the mean of its divisors is an integer number (1414957056).

Almost surely, 276232902704 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 76232902704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113196564480).

76232902704 is an abundant number, since it is smaller than the sum of its proper divisors (150160226256).

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

76232902704 is a wasteful number, since it uses less digits than its factorization.

76232902704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 76232902704 in words is "seventy-six billion, two hundred thirty-two million, nine hundred two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 911 919 1084 1626 1822 1838 1897 2168 2733 2757 3252 3644 3676 3794 4336 5466 5514 5691 6377 6433 6504 7288 7352 7588 10932 11028 11382 12754 12866 13008 14576 14704 15176 19131 19299 21864 22056 22764 25508 25732 30352 38262 38598 43728 44112 45528 51016 51464 76524 77196 91056 102032 102928 153048 154392 246881 249049 306096 308784 493762 498098 740643 747147 837209 987524 996196 1481286 1494294 1674418 1728167 1743343 1975048 1992392 2511627 2962572 2988588 3348836 3456334 3486686 3950096 3984784 5023254 5184501 5230029 5860463 5925144 5977176 6697672 6912668 6973372 10046508 10369002 10460058 11720926 11850288 11954352 13395344 13825336 13946744 17581389 20093016 20738004 20920116 23441852 27650672 27893488 35162778 40186032 41476008 41840232 46883704 70325556 82952016 83680464 93767408 140651112 226883639 281302224 453767278 680650917 907534556 1361301834 1588185473 1815069112 2722603668 3176370946 3630138224 4764556419 5445207336 6352741892 9529112838 10890414672 12705483784 19058225676 25410967568 38116451352 76232902704