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23013762337314 = 23271316612109329
BaseRepresentation
bin1010011101110010011110…
…01000010000101000100010
310000111002112122222221202200
411032321033020100220202
511004024141124243224
6120540213152154030
74563455325145260
oct516711710205042
9100432478887680
1023013762337314
117373099965501
1226b827a538916
13cac25b10c7a8
14597c2cc43430
1529d9929145c9
hex14ee4f210a22

23013762337314 has 96 divisors (see below), whose sum is σ = 57508368128640. Its totient is φ = 6515292326400.

The previous prime is 23013762337273. The next prime is 23013762337351. The reversal of 23013762337314 is 41373326731032.

23013762337314 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 7 + 623 + 3 + 7 + 3 + 14 = 666.

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 23013762337314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9855802 + ... + 11965130.

It is an arithmetic number, because the mean of its divisors is an integer number (599045501340).

Almost surely, 223013762337314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013762337314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754184064320).

23013762337314 is an abundant number, since it is smaller than the sum of its proper divisors (34494605791326).

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

23013762337314 is a wasteful number, since it uses less digits than its factorization.

23013762337314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110136 (or 2110133 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 23013762337314 in words is "twenty-three trillion, thirteen billion, seven hundred sixty-two million, three hundred thirty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 661 786 917 1179 1322 1834 1983 2358 2751 3966 4627 5502 5949 8253 9254 11898 13881 16506 27762 41643 83286 86591 173182 259773 519546 606137 779319 1212274 1558638 1818411 2109329 3636822 4218658 5455233 6327987 10910466 12655974 14765303 18983961 29530606 37967922 44295909 88591818 132887727 265775454 276322099 552644198 828966297 1394266469 1657932594 1934254693 2486898891 2788532938 3868509386 4182799407 4973797782 5802764079 8365598814 9759865283 11605528158 12548398221 17408292237 19519730566 25096796442 29279595849 34816584474 58559191698 87838787547 175677575094 182648907439 365297814878 547946722317 1095893444634 1278542352073 1643840166951 2557084704146 3287680333902 3835627056219 7671254112438 11506881168657 23013762337314