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2553052800528 = 2432132113421297
BaseRepresentation
bin100101001001101101110…
…011100010011000010000
3100001001212122021001212200
4211021231303202120100
5313312123004104103
65232504541523200
7352311012513306
oct45115563423020
910031778231780
102553052800528
118a481a82557a
12352970273500
131569a0a623b9
148b7d5a32276
15466264c90a3
hex2526dce2610

2553052800528 has 60 divisors (see below), whose sum is σ = 7150411250268. Its totient is φ = 850373314560.

The previous prime is 2553052800527. The next prime is 2553052800553. The reversal of 2553052800528 is 8250082503552.

2553052800528 is a `hidden beast` number, since 25 + 53 + 0 + 52 + 8 + 0 + 0 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2200273822224 + 352778978304 = 1483332^2 + 593952^2 .

It is not an unprimeable number, because it can be changed into a prime (2553052800527) 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, 6520425 + ... + 6900872.

Almost surely, 22553052800528 is an apocalyptic number.

It is an amenable number.

2553052800528 is an abundant number, since it is smaller than the sum of its proper divisors (4597358449740).

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

2553052800528 is a wasteful number, since it uses less digits than its factorization.

2553052800528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422632 (or 13422623 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 2553052800528 in words is "two trillion, five hundred fifty-three billion, fifty-two million, eight hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1321 2642 3963 5284 7926 10568 11889 15852 21136 23778 31704 47556 63408 95112 190224 13421297 26842594 40263891 53685188 80527782 107370376 120791673 161055564 214740752 241583346 322111128 483166692 644222256 966333384 1932666768 17729533337 35459066674 53188600011 70918133348 106377200022 141836266696 159565800033 212754400044 283672533392 319131600066 425508800088 638263200132 851017600176 1276526400264 2553052800528