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11630816256 = 210319199267
BaseRepresentation
bin10101101010100000…
…00010110000000000
31010000120102200110110
422311100002300000
5142304442110011
65202040431320
7561136210203
oct126520026000
933016380413
1011630816256
114a29324444
122307178540
1311348228c7
147c499993a
15481147ba6
hex2b5402c00

11630816256 has 88 divisors (see below), whose sum is σ = 32632127680. Its totient is φ = 3672870912.

The previous prime is 11630816231. The next prime is 11630816273. The reversal of 11630816256 is 65261803611.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41266 + ... + 158001.

Almost surely, 211630816256 is an apocalyptic number.

11630816256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11630816256 is an abundant number, since it is smaller than the sum of its proper divisors (21001311424).

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

11630816256 is a wasteful number, since it uses less digits than its factorization.

11630816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199309 (or 199291 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11630816256 in words is "eleven billion, six hundred thirty million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 199267 398534 597801 797068 1195602 1594136 2391204 3188272 3786073 4782408 6376544 7572146 9564816 11358219 12753088 15144292 19129632 22716438 25506176 30288584 38259264 45432876 51012352 60577168 76518528 90865752 102024704 121154336 153037056 181731504 204049408 242308672 306074112 363463008 484617344 612148224 726926016 969234688 1453852032 1938469376 2907704064 3876938752 5815408128 11630816256