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2153252077146 = 232532257077649
BaseRepresentation
bin11111010101010111110…
…100110011111001011010
321121211220211200000000100
4133111113310303321122
5240234330012432041
64325105040520230
7311365410444552
oct37252764637132
97554824600010
102153252077146
117602097316a5
122a9393920076
131280877b7021
147630a104162
153b0273456b6
hex1f557d33e5a

2153252077146 has 24 divisors (see below), whose sum is σ = 4753405530900. Its totient is φ = 704208226176.

The previous prime is 2153252077111. The next prime is 2153252077177. The reversal of 2153252077146 is 6417702523512.

2153252077146 is a `hidden beast` number, since 2 + 1 + 53 + 2 + 520 + 7 + 71 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2150900894025 + 2351183121 = 1466595^2 + 48489^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128537871 + ... + 1128539778.

Almost surely, 22153252077146 is an apocalyptic number.

2153252077146 is an abundant number, since it is smaller than the sum of its proper divisors (2600153453754).

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

2153252077146 is a wasteful number, since it uses less digits than its factorization.

2153252077146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257077710 (or 2257077707 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2153252077146 in words is "two trillion, one hundred fifty-three billion, two hundred fifty-two million, seventy-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 2257077649 4514155298 6771232947 13542465894 20313698841 40627397682 119625115397 239250230794 358875346191 717750692382 1076626038573 2153252077146