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6949257913038 = 2372317611001947
BaseRepresentation
bin110010100100000000000…
…0011001010001011001110
3220121100020201202212211010
41211020000003022023032
51402324040011204123
622440240042310050
71315032042433500
oct145100003121316
926540221685733
106949257913038
11223a188a1a391
129429904b8326
133b5409c01abc
141a04bb133d70
15c0b75b21993
hex652000ca2ce

6949257913038 has 96 divisors (see below), whose sum is σ = 16711146021888. Its totient is φ = 1918926979200.

The previous prime is 6949257912979. The next prime is 6949257913049. The reversal of 6949257913038 is 8303197529496.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6949257913038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6434781 + ... + 7436727.

It is an arithmetic number, because the mean of its divisors is an integer number (174074437728).

It is a 1-persistent number, because it is pandigital, but 2⋅6949257913038 = 13898515826076 is not.

Almost surely, 26949257913038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6949257913038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355573010944).

6949257913038 is an abundant number, since it is smaller than the sum of its proper divisors (9761888108850).

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

6949257913038 is a wasteful number, since it uses less digits than its factorization.

6949257913038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002758 (or 1002751 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 6949257913038 in words is "six trillion, nine hundred forty-nine billion, two hundred fifty-seven million, nine hundred thirteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 761 1302 1519 1522 2283 3038 4557 4566 5327 9114 10654 15981 23591 31962 37289 47182 70773 74578 111867 141546 165137 223734 330274 495411 990822 1001947 1155959 2003894 2311918 3005841 3467877 6011682 6935754 7013629 14027258 21040887 31060357 42081774 49095403 62120714 93181071 98190806 147286209 186362142 217422499 294572418 434844998 652267497 762481667 1304534994 1521957493 1524963334 2287445001 3043914986 4565872479 4574890002 5337371669 9131744958 10674743338 16012115007 23636931677 32024230014 37361601683 47273863354 70910795031 74723203366 112084805049 141821590062 165458521739 224169610098 330917043478 496375565217 992751130434 1158209652173 2316419304346 3474628956519 6949257913038