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253600135128 = 23323522224099
BaseRepresentation
bin1110110000101110111…
…1101111011111011000
3220020120211101200002100
43230023233233133120
513123333113311003
6312300255003400
724215306403354
oct3541357573730
9806524350070
10253600135128
119860773503a
1241196209560
131abb6bb8672
14c3ba9d8464
1568e3e05ba3
hex3b0bbef7d8

253600135128 has 24 divisors (see below), whose sum is σ = 686833699500. Its totient is φ = 84533378352.

The previous prime is 253600135121. The next prime is 253600135141. The reversal of 253600135128 is 821531006352.

253600135128 is a `hidden beast` number, since 2 + 5 + 3 + 600 + 1 + 35 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 253600135092 and 253600135101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253600135121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1761111978 + ... + 1761112121.

Almost surely, 2253600135128 is an apocalyptic number.

It is an amenable number.

253600135128 is an abundant number, since it is smaller than the sum of its proper divisors (433233564372).

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

253600135128 is a wasteful number, since it uses less digits than its factorization.

253600135128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522224111 (or 3522224104 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 253600135128 in words is "two hundred fifty-three billion, six hundred million, one hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3522224099 7044448198 10566672297 14088896396 21133344594 28177792792 31700016891 42266689188 63400033782 84533378376 126800067564 253600135128