Search a number
-
+
76650113448 = 233267112314149
BaseRepresentation
bin100011101100010110…
…0111110100110101000
321022211212201012112200
41013120230332212220
52223434412112243
655113525540200
75352314133336
oct1073054764650
9238755635480
1076650113448
112a563a997a7
1212a31b74660
1372c7106c1c
1439d1cd4b56
151ed9364ad3
hex11d8b3e9a8

76650113448 has 96 divisors (see below), whose sum is σ = 210894996000. Its totient is φ = 25144504704.

The previous prime is 76650113429. The next prime is 76650113489. The reversal of 76650113448 is 84431105667.

76650113448 is a `hidden beast` number, since 7 + 6 + 6 + 501 + 134 + 4 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5410278 + ... + 5424426.

It is an arithmetic number, because the mean of its divisors is an integer number (2196822875).

Almost surely, 276650113448 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 76650113448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105447498000).

76650113448 is an abundant number, since it is smaller than the sum of its proper divisors (134244882552).

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

76650113448 is a wasteful number, since it uses less digits than its factorization.

76650113448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76650113448 in words is "seventy-six billion, six hundred fifty million, one hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1123 1206 1608 2246 2412 3369 4492 4824 6738 8984 10107 13476 14149 20214 26952 28298 40428 42447 56596 75241 80856 84894 113192 127341 150482 169788 225723 254682 300964 339576 451446 509364 601928 677169 902892 947983 1018728 1354338 1805784 1895966 2708676 2843949 3791932 5417352 5687898 7583864 8531847 11375796 15889327 17063694 22751592 31778654 34127388 47667981 63557308 68254776 95335962 127114616 143003943 190671924 286007886 381343848 572015772 1064584909 1144031544 2129169818 3193754727 4258339636 6387509454 8516679272 9581264181 12775018908 19162528362 25550037816 38325056724 76650113448