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2517130056 = 233741715147
BaseRepresentation
bin1001011000001000…
…0101101101001000
320111102102110022010
42112002011231020
520123341130211
61053434455520
7116243152410
oct22602055510
96442373263
102517130056
111081944081
125a2b945a0
1331164948c
1419c42d640
15eaeb14a6
hex96085b48

2517130056 has 128 divisors (see below), whose sum is σ = 7472424960. Its totient is φ = 691622400.

The previous prime is 2517130027. The next prime is 2517130067. The reversal of 2517130056 is 6500317152.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486475 + ... + 491621.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 22517130056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517130056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736212480).

2517130056 is an abundant number, since it is smaller than the sum of its proper divisors (4955294904).

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

2517130056 is a wasteful number, since it uses less digits than its factorization.

2517130056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2517130056 is about 50171.0081222213. The cubic root of 2517130056 is about 1360.3016300410.

The spelling of 2517130056 in words is "two billion, five hundred seventeen million, one hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 71 82 84 123 142 164 168 213 246 284 287 328 426 492 497 568 574 852 861 984 994 1148 1491 1704 1722 1988 2296 2911 2982 3444 3976 5147 5822 5964 6888 8733 10294 11644 11928 15441 17466 20377 20588 23288 30882 34932 36029 40754 41176 61131 61764 69864 72058 81508 108087 122262 123528 144116 163016 211027 216174 244524 288232 365437 422054 432348 489048 633081 730874 844108 864696 1096311 1266162 1461748 1477189 1688216 2192622 2532324 2558059 2923496 2954378 4385244 4431567 5064648 5116118 5908756 7674177 8770488 8863134 10232236 11817512 14982917 15348354 17726268 20464472 29965834 30696708 35452536 44948751 59931668 61393416 89897502 104880419 119863336 179795004 209760838 314641257 359590008 419521676 629282514 839043352 1258565028 2517130056