Search a number
-
+
11727355968 = 263220359993
BaseRepresentation
bin10101110110000000…
…10100000001000000
31010021022002102001100
422323000110001000
5143004200342333
65215405534400
7563420611116
oct127300240100
933238072040
1011727355968
114a78872129
122333574400
13114b8243b3
147d3729ab6
15489867213
hex2bb014040

11727355968 has 42 divisors (see below), whose sum is σ = 33614350094. Its totient is φ = 3909118464.

The previous prime is 11727355961. The next prime is 11727356009. The reversal of 11727355968 is 86955372711.

11727355968 is a `hidden beast` number, since 1 + 1 + 7 + 27 + 3 + 559 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11726290944 + 1065024 = 108288^2 + 1032^2 .

It is not an unprimeable number, because it can be changed into a prime (11727355961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10179421 + ... + 10180572.

Almost surely, 211727355968 is an apocalyptic number.

11727355968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11727355968 is an abundant number, since it is smaller than the sum of its proper divisors (21886994126).

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

11727355968 is a wasteful number, since it uses less digits than its factorization.

11727355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20360011 (or 20359998 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 11727355968 in words is "eleven billion, seven hundred twenty-seven million, three hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20359993 40719986 61079979 81439972 122159958 162879944 183239937 244319916 325759888 366479874 488639832 651519776 732959748 977279664 1303039552 1465919496 1954559328 2931838992 3909118656 5863677984 11727355968