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7628785696 = 257214932653
BaseRepresentation
bin1110001101011011…
…00000100000100000
3201200122220110121101
413012231200200200
5111110432120241
63300555204144
7360022415500
oct70655404040
921618813541
107628785696
113265283674
12158aa46654
1394766cb9c
14525277a00
152e9b20e31
hex1c6b60820

7628785696 has 72 divisors (see below), whose sum is σ = 17589077100. Its totient is φ = 3247437312.

The previous prime is 7628785693. The next prime is 7628785739. The reversal of 7628785696 is 6965878267.

It can be written as a sum of positive squares in 2 ways, for example, as 7079539600 + 549246096 = 84140^2 + 23436^2 .

It is not an unprimeable number, because it can be changed into a prime (7628785693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217306 + ... + 249958.

Almost surely, 27628785696 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 7628785696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794538550).

7628785696 is an abundant number, since it is smaller than the sum of its proper divisors (9960291404).

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

7628785696 is a wasteful number, since it uses less digits than its factorization.

7628785696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32826 (or 32811 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 64.

The square root of 7628785696 is about 87342.9201252168. The cubic root of 7628785696 is about 1968.5742727763.

The spelling of 7628785696 in words is "seven billion, six hundred twenty-eight million, seven hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 149 196 224 298 392 596 784 1043 1192 1568 2086 2384 4172 4768 7301 8344 14602 16688 29204 32653 33376 58408 65306 116816 130612 228571 233632 261224 457142 522448 914284 1044896 1599997 1828568 3199994 3657136 4865297 6399988 7314272 9730594 12799976 19461188 25599952 34057079 38922376 51199904 68114158 77844752 136228316 155689504 238399553 272456632 476799106 544913264 953598212 1089826528 1907196424 3814392848 7628785696