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23747006244128 = 2531106135276397
BaseRepresentation
bin1010110011001000001111…
…10111110010010100100000
310010002012011200202210110112
411121210013313302110200
511103032332044303003
6122301120221550452
75000443644420026
oct531440767622440
9103065150683415
1023747006244128
117626059a3a352
1227b63b4415428
131033443a141bb
145c150b32a716
152b2aaa2b83d8
hex159907df2520

23747006244128 has 96 divisors (see below), whose sum is σ = 48326779726848. Its totient is φ = 11474608204800.

The previous prime is 23747006244103. The next prime is 23747006244167. The reversal of 23747006244128 is 82144260074732.

It is a super-4 number, since 4×237470062441284 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3712206626 + ... + 3712213022.

It is an arithmetic number, because the mean of its divisors is an integer number (503403955488).

Almost surely, 223747006244128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23747006244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24163389863424).

23747006244128 is an abundant number, since it is smaller than the sum of its proper divisors (24579773482720).

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

23747006244128 is a wasteful number, since it uses less digits than its factorization.

23747006244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11018 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 50.

The spelling of 23747006244128 in words is "twenty-three trillion, seven hundred forty-seven billion, six million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1061 2122 3527 4244 6397 7054 8488 12794 14108 16976 25588 28216 32891 33952 51176 56432 65782 102352 109337 112864 131564 198307 204704 218674 263128 396614 437348 526256 793228 874696 1052512 1586456 1749392 3172912 3498784 3742147 6345824 6787217 7484294 13574434 14968588 22562219 27148868 29937176 45124438 54297736 59874352 90248876 108595472 116006557 119748704 180497752 210403727 217190944 232013114 360995504 420807454 464026228 699428789 721991008 841614908 928052456 1398857578 1683229816 1856104912 2797715156 3366459632 3712209824 5595430312 6732919264 11190860624 22381721248 23938514359 47877028718 95754057436 191508114872 383016229744 742093945129 766032459488 1484187890258 2968375780516 5936751561032 11873503122064 23747006244128