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23026353661314 = 23317215719514817
BaseRepresentation
bin1010011110001001111011…
…01000010110010110000010
310000112022001011210111011000
411033010331220112112002
511004230433014130224
6120550054424032430
74564412336504553
oct517047550262602
9100468034714130
1023026353661314
1173784703895a3
1226ba7b3302716
13cb04b6922b73
145986a51ca32a
1529de7d03c0c9
hex14f13da16582

23026353661314 has 192 divisors, whose sum is σ = 54742334929920. Its totient is φ = 7172773171200.

The previous prime is 23026353661307. The next prime is 23026353661321. The reversal of 23026353661314 is 41316635362032.

23026353661314 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 635 + 3 + 6 + 6 + 1 + 3 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23026353661307) and next prime (23026353661321).

It is a self number, because there is not a number n which added to its sum of digits gives 23026353661314.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4780224634 + ... + 4780229450.

It is an arithmetic number, because the mean of its divisors is an integer number (285116327760).

Almost surely, 223026353661314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23026353661314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371167464960).

23026353661314 is an abundant number, since it is smaller than the sum of its proper divisors (31715981268606).

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

23026353661314 is a wasteful number, since it uses less digits than its factorization.

23026353661314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 23026353661314 in words is "twenty-three trillion, twenty-six billion, three hundred fifty-three million, six hundred sixty-one thousand, three hundred fourteen".