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268269616032 = 25311254043197
BaseRepresentation
bin1111100111011000011…
…1010111101110100000
3221122110011121111210220
43321312013113232200
513343404010203112
6323124044523040
725244654053305
oct3716607275640
9848404544726
10268269616032
11a3855228180
1243baab50480
131c3b410c592
14cdacd830ac
156ea1bcd98c
hex3e761d7ba0

268269616032 has 48 divisors (see below), whose sum is σ = 768226630752. Its totient is φ = 81293822720.

The previous prime is 268269616019. The next prime is 268269616051. The reversal of 268269616032 is 230616962862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2682696160322 (a number of 24 digits) contains 22 as substring.

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, 127020543 + ... + 127022654.

It is an arithmetic number, because the mean of its divisors is an integer number (16004721474).

Almost surely, 2268269616032 is an apocalyptic number.

268269616032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268269616032 is an abundant number, since it is smaller than the sum of its proper divisors (499957014720).

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

268269616032 is a wasteful number, since it uses less digits than its factorization.

268269616032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254043221 (or 254043213 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 268269616032 in words is "two hundred sixty-eight billion, two hundred sixty-nine million, six hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 254043197 508086394 762129591 1016172788 1524259182 2032345576 2794475167 3048518364 4064691152 5588950334 6097036728 8129382304 8383425501 11177900668 12194073456 16766851002 22355801336 24388146912 33533702004 44711602672 67067404008 89423205344 134134808016 268269616032