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102828417575 = 52132239101833
BaseRepresentation
bin101111111000100001…
…1010010001000100111
3100211102021210211202012
41133301003102020213
53141043033330300
6115123321504435
710300120061612
oct1376103221047
9324367724665
10102828417575
113a677a63094
1217b1904211b
1399097a9600
144d96961179
152a1c6d9435
hex17f10d2227

102828417575 has 36 divisors (see below), whose sum is σ = 138649027680. Its totient is φ = 75616369920.

The previous prime is 102828417557. The next prime is 102828417583. The reversal of 102828417575 is 575714828201.

It is a happy number.

It is not a de Polignac number, because 102828417575 - 214 = 102828401191 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 958859 + ... + 1060691.

It is an arithmetic number, because the mean of its divisors is an integer number (3851361880).

Almost surely, 2102828417575 is an apocalyptic number.

102828417575 is a deficient number, since it is larger than the sum of its proper divisors (35820610105).

102828417575 is a wasteful number, since it uses less digits than its factorization.

102828417575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102108 (or 102090 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 50.

The spelling of 102828417575 in words is "one hundred two billion, eight hundred twenty-eight million, four hundred seventeen thousand, five hundred seventy-five".

Divisors: 1 5 13 25 65 169 239 325 845 1195 3107 4225 5975 15535 40391 77675 101833 201955 509165 1009775 1323829 2545825 6619145 17209777 24338087 33095725 86048885 121690435 316395131 430244425 608452175 1581975655 4113136703 7909878275 20565683515 102828417575