Search a number
-
+
71211288492 = 223261139233293
BaseRepresentation
bin100001001010010000…
…1100000011110101100
320210210211121021022100
41002110201200132230
52131320042212432
652414121015100
75100452651661
oct1022441403654
9223724537270
1071211288492
1128222a09043
1211974624490
13693b391cc6
143637843a68
151cbbb2b07c
hex10948607ac

71211288492 has 72 divisors (see below), whose sum is σ = 184274264720. Its totient is φ = 23179893120.

The previous prime is 71211288481. The next prime is 71211288521. The reversal of 71211288492 is 29488211217.

71211288492 is a `hidden beast` number, since 71 + 2 + 1 + 12 + 88 + 492 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188598 + ... + 421890.

Almost surely, 271211288492 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 71211288492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92137132360).

71211288492 is an abundant number, since it is smaller than the sum of its proper divisors (113062976228).

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

71211288492 is a wasteful number, since it uses less digits than its factorization.

71211288492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233503 (or 233498 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 71211288492 in words is "seventy-one billion, two hundred eleven million, two hundred eighty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 139 183 244 278 366 417 549 556 732 834 1098 1251 1668 2196 2502 5004 8479 16958 25437 33916 50874 76311 101748 152622 233293 305244 466586 699879 933172 1399758 2099637 2799516 4199274 8398548 14230873 28461746 32427727 42692619 56923492 64855454 85385238 97283181 128077857 129710908 170770476 194566362 256155714 291849543 389132724 512311428 583699086 1167398172 1978091347 3956182694 5934274041 7912365388 11868548082 17802822123 23737096164 35605644246 71211288492