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2630757696 = 26374741647
BaseRepresentation
bin1001110011001110…
…0010110101000000
320210100020100010020
42130303202311000
520341433221241
61113014133440
7122123033340
oct23463426500
96710210106
102630757696
11112aaa3216
12615051280
1332c051a78
141ad56ad20
15105e58b66
hex9cce2d40

2630757696 has 112 divisors (see below), whose sum is σ = 8124358656. Its totient is φ = 735634944.

The previous prime is 2630757691. The next prime is 2630757697. The reversal of 2630757696 is 6967570362.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630757691) 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, 42345 + ... + 83991.

Almost surely, 22630757696 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 2630757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062179328).

2630757696 is an abundant number, since it is smaller than the sum of its proper divisors (5493600960).

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

2630757696 is a wasteful number, since it uses less digits than its factorization.

2630757696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41716 (or 41706 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The square root of 2630757696 is about 51290.9124114594. The cubic root of 2630757696 is about 1380.4699260761.

The spelling of 2630757696 in words is "two billion, six hundred thirty million, seven hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7896 9024 10528 15792 21056 31584 41647 63168 83294 124941 166588 249882 291529 333176 499764 583058 666352 874587 999528 1166116 1332704 1749174 1957409 1999056 2332232 2665408 3498348 3914818 3998112 4664464 5872227 6996696 7829636 7996224 9328928 11744454 13701863 13993392 15659272 18657856 23488908 27403726 27986784 31318544 41105589 46977816 54807452 55973568 62637088 82211178 93955632 109614904 125274176 164422356 187911264 219229808 328844712 375822528 438459616 657689424 876919232 1315378848 2630757696