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2512709056 = 261113733761
BaseRepresentation
bin1001010111000100…
…1110010111000000
320111010002211211101
42111301032113000
520121223142211
61053200024144
7116160450244
oct22561162700
96433084741
102512709056
11107a3a4560
125a1602054
1331075c0c0
1419b9dc424
15ea8db5c1
hex95c4e5c0

2512709056 has 112 divisors (see below), whose sum is σ = 5939686368. Its totient is φ = 1039564800.

The previous prime is 2512709039. The next prime is 2512709063. The reversal of 2512709056 is 6509072152.

It is a super-2 number, since 2×25127090562 = 12627413600208822272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666216 + ... + 669976.

It is an arithmetic number, because the mean of its divisors is an integer number (53032914).

Almost surely, 22512709056 is an apocalyptic number.

2512709056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969843184).

2512709056 is an abundant number, since it is smaller than the sum of its proper divisors (3426977312).

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

2512709056 is a wasteful number, since it uses less digits than its factorization.

2512709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 2512709056 is about 50126.9294491494. The cubic root of 2512709056 is about 1359.5047677843.

The spelling of 2512709056 in words is "two billion, five hundred twelve million, seven hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1606 1898 2288 2336 3212 3761 3796 4576 4672 6424 7522 7592 9152 10439 12848 15044 15184 20878 25696 30088 30368 41371 41756 48893 51392 60176 60736 82742 83512 97786 120352 165484 167024 195572 240704 274553 330968 334048 391144 537823 549106 661936 668096 782288 1075646 1098212 1323872 1564576 2151292 2196424 2647744 3020083 3129152 3569189 4302584 4392848 6040166 7138378 8605168 8785696 12080332 14276756 17210336 17571392 24160664 28553512 34420672 39261079 48321328 57107024 78522158 96642656 114214048 157044316 193285312 228428096 314088632 628177264 1256354528 2512709056