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268730292666 = 231119641334319
BaseRepresentation
bin1111101001000110010…
…0101101100110111010
3221200122021110022100110
43322101210231212322
513400324423331131
6323241502445150
725262246541003
oct3722144554672
9850567408313
10268730292666
11a3a71276370
12440b92937b6
131c4586a6ac4
14d0142201aa
156ecc37a646
hex3e9192d9ba

268730292666 has 64 divisors (see below), whose sum is σ = 618144307200. Its totient is φ = 77026867200.

The previous prime is 268730292659. The next prime is 268730292673. The reversal of 268730292666 is 666292037862.

268730292666 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268730292659) and next prime (268730292673).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636655 + ... + 970973.

It is an arithmetic number, because the mean of its divisors is an integer number (9658504800).

Almost surely, 2268730292666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268730292666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309072153600).

268730292666 is an abundant number, since it is smaller than the sum of its proper divisors (349414014534).

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

268730292666 is a wasteful number, since it uses less digits than its factorization.

268730292666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334995.

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 268730292666 in words is "two hundred sixty-eight billion, seven hundred thirty million, two hundred ninety-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 641 1254 1282 1923 3846 7051 12179 14102 21153 24358 36537 42306 73074 133969 267938 334319 401907 668638 803814 1002957 2005914 3677509 6352061 7355018 11032527 12704122 19056183 22065054 38112366 69872671 139745342 209618013 214298479 419236026 428596958 642895437 1285790874 2357283269 4071671101 4714566538 7071849807 8143342202 12215013303 14143699614 24430026606 44788382111 89576764222 134365146333 268730292666