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11400174972 = 22321372311471
BaseRepresentation
bin10101001111000000…
…01101110101111100
31002102111102220002200
422213200031311330
5141321421044342
65123121151500
7552335613504
oct124740156574
932374386080
1011400174972
11492011320a
122261a8b590
1310c8aca784
147a20bca04
1546ac8994c
hex2a780dd7c

11400174972 has 36 divisors (see below), whose sum is σ = 29027465376. Its totient is φ = 3772319040.

The previous prime is 11400174953. The next prime is 11400174977. The reversal of 11400174972 is 27947100411.

11400174972 is a `hidden beast` number, since 11 + 400 + 174 + 9 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400174977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150804 + ... + 1160667.

Almost surely, 211400174972 is an apocalyptic number.

11400174972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11400174972 is an abundant number, since it is smaller than the sum of its proper divisors (17627290404).

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

11400174972 is a wasteful number, since it uses less digits than its factorization.

11400174972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311618 (or 2311613 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11400174972 in words is "eleven billion, four hundred million, one hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 2311471 4622942 6934413 9245884 13868826 20803239 27737652 41606478 83212956 316671527 633343054 950014581 1266686108 1900029162 2850043743 3800058324 5700087486 11400174972