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23705198352 = 243211130111503
BaseRepresentation
bin10110000100111100…
…001001111100010000
32021012001111211212100
4112010330021330100
5342022012321402
614520124400400
71466302601313
oct260474117420
967161454770
1023705198352
11a064a6a420
1247169a6100
13230a1cb6b4
14120c41a97a
1593b1ac71c
hex584f09f10

23705198352 has 120 divisors (see below), whose sum is σ = 72434613888. Its totient is φ = 7177248000.

The previous prime is 23705198303. The next prime is 23705198383. The reversal of 23705198352 is 25389150732.

23705198352 is a `hidden beast` number, since 2 + 3 + 7 + 0 + 519 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23705198298 and 23705198307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055033 + ... + 2066535.

Almost surely, 223705198352 is an apocalyptic number.

23705198352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23705198352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36217306944).

23705198352 is an abundant number, since it is smaller than the sum of its proper divisors (48729415536).

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

23705198352 is a wasteful number, since it uses less digits than its factorization.

23705198352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 23705198352 in words is "twenty-three billion, seven hundred five million, one hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1301 1584 2602 3903 5204 7806 10408 11503 11709 14311 15612 20816 23006 23418 28622 31224 34509 42933 46012 46836 57244 62448 69018 85866 92024 93672 103527 114488 126533 128799 138036 171732 184048 187344 207054 228976 253066 257598 276072 343464 379599 414108 506132 515196 552144 686928 759198 828216 1012264 1030392 1138797 1518396 1656432 2024528 2060784 2277594 3036792 4555188 6073584 9110376 14965403 18220752 29930806 44896209 59861612 89792418 119723224 134688627 164619433 179584836 239446448 269377254 329238866 359169672 493858299 538754508 658477732 718339344 987716598 1077509016 1316955464 1481574897 1975433196 2155018032 2633910928 2963149794 3950866392 5926299588 7901732784 11852599176 23705198352