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268943613120 = 2637571341103
BaseRepresentation
bin1111101001111001001…
…0011101110011000000
3221201012010212010000000
43322132102131303000
513401244031104440
6323315003000000
725300446664350
oct3723622356300
9851163763000
10268943613120
11a4070727166
1244158809000
131c490946120
14d0346acb60
156ee0e66730
hex3e9e49dcc0

268943613120 has 1792 divisors, whose sum is σ = 1222726901760. Its totient is φ = 54822666240.

The previous prime is 268943613119. The next prime is 268943613121. The reversal of 268943613120 is 21316349862.

268943613120 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 4 + 3 + 613 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (268943613119) and next prime (268943613121).

It is a super-2 number, since 2×2689436131202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268943613121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2611102989 + ... + 2611103091.

It is an arithmetic number, because the mean of its divisors is an integer number (682325280).

Almost surely, 2268943613120 is an apocalyptic number.

268943613120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268943613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611363450880).

268943613120 is an abundant number, since it is smaller than the sum of its proper divisors (953783288640).

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

268943613120 is a wasteful number, since it uses less digits than its factorization.

268943613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 268943613120 in words is "two hundred sixty-eight billion, nine hundred forty-three million, six hundred thirteen thousand, one hundred twenty".