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11756422567696 = 24172504232
BaseRepresentation
bin1010101100010100000101…
…1001000001011100010000
31112121220101022011111020211
42223011001121001130100
53020104123134131241
641000454224213504
72322242053004632
oct253050131013420
945556338144224
1011756422567696
113822964060844
12139a58216a294
1367381a110111
142c902a176a52
15155c28dae781
hexab141641710

11756422567696 has 45 divisors (see below), whose sum is σ = 24197251852501. Its totient is φ = 5532324429056.

The previous prime is 11756422567691. The next prime is 11756422567741. The reversal of 11756422567696 is 69676522465711.

The square root of 11756422567696 is 3428764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9152924144400 + 2603498423296 = 3025380^2 + 1613536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11756422567691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 233130741 + ... + 233181163.

Almost surely, 211756422567696 is an apocalyptic number.

11756422567696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11756422567696 is the 3428764-th square number.

It is an amenable number.

11756422567696 is an abundant number, since it is smaller than the sum of its proper divisors (12440829284805).

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

11756422567696 is an frugal number, since it uses more digits than its factorization.

11756422567696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100888 (or 50442 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 67.

The spelling of 11756422567696 in words is "eleven trillion, seven hundred fifty-six billion, four hundred twenty-two million, five hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 50423 100846 201692 403384 806768 857191 1714382 3428764 6857528 13715056 14572247 29144494 58288988 116577976 233155952 2542478929 5084957858 10169915716 20339831432 40679662864 43222141793 86444283586 172888567172 345777134344 691554268688 734776410481 1469552820962 2939105641924 5878211283848 11756422567696