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268370942960 = 24543359321713
BaseRepresentation
bin1111100111110000100…
…1111001101111110000
3221122201020021110020002
43321330021321233300
513344110430133320
6323142104405132
725250324243141
oct3717411715760
9848636243202
10268370942960
11a38a744563a
1244018a767a8
131c3cc0c9043
14cdbc5dbac8
156eaaa46675
hex3e7c279bf0

268370942960 has 80 divisors (see below), whose sum is σ = 638680309344. Its totient is φ = 104817893376.

The previous prime is 268370942953. The next prime is 268370942993. The reversal of 268370942960 is 69249073862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 268370942896 and 268370942905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12349064 + ... + 12370776.

Almost surely, 2268370942960 is an apocalyptic number.

268370942960 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 268370942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319340154672).

268370942960 is an abundant number, since it is smaller than the sum of its proper divisors (370309366384).

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

268370942960 is a wasteful number, since it uses less digits than its factorization.

268370942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362 (or 25356 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 268370942960 in words is "two hundred sixty-eight billion, three hundred seventy million, nine hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3593 7186 14372 17965 21713 28744 35930 43426 57488 71860 86852 108565 143720 154499 173704 217130 287440 308998 347408 434260 617996 772495 868520 933659 1235992 1544990 1737040 1867318 2471984 3089980 3734636 4668295 6179960 7469272 9336590 12359920 14938544 18673180 37346360 74692720 78014809 156029618 312059236 390074045 624118472 780148090 1248236944 1560296180 3120592360 3354636787 6241184720 6709273574 13418547148 16773183935 26837094296 33546367870 53674188592 67092735740 134185471480 268370942960