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11725060608 = 293341137151
BaseRepresentation
bin10101110101101111…
…00011101000000000
31010021010202210102000
422322313203220000
5143003103414413
65215244424000
7563362241112
oct127267435000
933233683360
1011725060608
114a77544638
122332848000
13114b1cc6b1
147d32cd3b2
15489562073
hex2bade3a00

11725060608 has 320 divisors, whose sum is σ = 36050192640. Its totient is φ = 3760128000.

The previous prime is 11725060603. The next prime is 11725060643. The reversal of 11725060608 is 80606052711.

It is a super-2 number, since 2×117250606082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11725060601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77649333 + ... + 77649483.

It is an arithmetic number, because the mean of its divisors is an integer number (112656852).

Almost surely, 211725060608 is an apocalyptic number.

11725060608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11725060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025096320).

11725060608 is an abundant number, since it is smaller than the sum of its proper divisors (24325132032).

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

11725060608 is a wasteful number, since it uses less digits than its factorization.

11725060608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11725060608 in words is "eleven billion, seven hundred twenty-five million, sixty thousand, six hundred eight".