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89655200253 = 32174011461301
BaseRepresentation
bin101001101111111011…
…1011100100111111101
322120102020002001210100
41103133313130213331
52432103212402003
6105104222031313
76322511425323
oct1233767344775
9276366061710
1089655200253
1135028028a23
1215461418539
1385ba56a068
1444a71c5d13
1524eae6dba3
hex14dfddc9fd

89655200253 has 24 divisors (see below), whose sum is σ = 137461756536. Its totient is φ = 56113920000.

The previous prime is 89655200249. The next prime is 89655200303. The reversal of 89655200253 is 35200255698.

89655200253 is a `hidden beast` number, since 8 + 96 + 552 + 0 + 0 + 2 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42321541284 + 47333658969 = 205722^2 + 217563^2 .

It is not a de Polignac number, because 89655200253 - 22 = 89655200249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89655200199 and 89655200208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89655200053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669298 + ... + 792003.

It is an arithmetic number, because the mean of its divisors is an integer number (5727573189).

Almost surely, 289655200253 is an apocalyptic number.

It is an amenable number.

89655200253 is a deficient number, since it is larger than the sum of its proper divisors (47806556283).

89655200253 is a wasteful number, since it uses less digits than its factorization.

89655200253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461725 (or 1461722 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 89655200253 in words is "eighty-nine billion, six hundred fifty-five million, two hundred thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 153 401 1203 3609 6817 20451 61353 1461301 4383903 13151709 24842117 74526351 223579053 585981701 1757945103 5273835309 9961688917 29885066751 89655200253