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114928000746 = 23136137276481
BaseRepresentation
bin110101100001000111…
…1100001111011101010
3101222122112022100112020
41223002033201323222
53340333032010441
6124444105525310
711206010613366
oct1530217417352
9358575270466
10114928000746
1144816950aa9
121a3351a3836
13aab7469c90
1457c38a22a6
152ec9a7ae66
hex1ac23e1eea

114928000746 has 64 divisors (see below), whose sum is σ = 251701556736. Its totient is φ = 34768051200.

The previous prime is 114928000723. The next prime is 114928000763. The reversal of 114928000746 is 647000829411.

It is a junction number, because it is equal to n+sod(n) for n = 114928000698 and 114928000707.

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, 17729826 + ... + 17736306.

It is an arithmetic number, because the mean of its divisors is an integer number (3932836824).

Almost surely, 2114928000746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114928000746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125850778368).

114928000746 is an abundant number, since it is smaller than the sum of its proper divisors (136773555990).

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

114928000746 is a wasteful number, since it uses less digits than its factorization.

114928000746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 114928000746 in words is "one hundred fourteen billion, nine hundred twenty-eight million, seven hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1586 2379 3727 4758 6481 7454 11181 12962 19443 22362 38886 48451 84253 96902 145353 168506 227347 252759 290706 395341 454694 505518 682041 790682 1186023 1364082 2372046 2955511 5139433 5911022 8866533 10278866 15418299 17733066 24154687 30836598 48309374 72464061 144928122 314010931 628021862 942032793 1473435907 1884065586 2946871814 4420307721 8840615442 19154666791 38309333582 57464000373 114928000746