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2516780704 = 252373139337
BaseRepresentation
bin1001011000000011…
…0000011010100000
320111101202201002011
42112000300122200
520123243440304
61053423202304
7116240166034
oct22600603240
96441681064
102516780704
111081725659
125a2a46394
13311556469
1419c37c1c4
15eae42c04
hex960306a0

2516780704 has 96 divisors (see below), whose sum is σ = 5294540160. Its totient is φ = 1175150592.

The previous prime is 2516780701. The next prime is 2516780711. The reversal of 2516780704 is 4070876152.

It is a super-2 number, since 2×25167807042 = 12668370224053471232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2516780701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7468024 + ... + 7468360.

It is an arithmetic number, because the mean of its divisors is an integer number (55151460).

Almost surely, 22516780704 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 2516780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647270080).

2516780704 is an abundant number, since it is smaller than the sum of its proper divisors (2777759456).

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

2516780704 is a wasteful number, since it uses less digits than its factorization.

2516780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 2516780704 is about 50167.5263890896. The cubic root of 2516780704 is about 1360.2386951281.

The spelling of 2516780704 in words is "two billion, five hundred sixteen million, seven hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 46 73 92 139 146 184 278 292 337 368 556 584 674 736 1112 1168 1348 1679 2224 2336 2696 3197 3358 4448 5392 6394 6716 7751 10147 10784 12788 13432 15502 20294 24601 25576 26864 31004 40588 46843 49202 51152 53728 62008 81176 93686 98404 102304 124016 162352 187372 196808 233381 248032 324704 374744 393616 466762 565823 749488 787232 933524 1077389 1131646 1498976 1867048 2154778 2263292 3419539 3734096 4309556 4526584 6839078 7468192 8619112 9053168 13678156 17238224 18106336 27356312 34476448 54712624 78649397 109425248 157298794 314597588 629195176 1258390352 2516780704