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23451514104 = 23319238632591
BaseRepresentation
bin10101110101110100…
…011011010011111000
32020112101011100111110
4111311310123103320
5341012041422404
614435023200320
71460102403144
oct256564332370
966471140443
1023451514104
119a4484a717
124665a460a0
132299799085
1411c6862224
15923c9bb89
hex575d1b4f8

23451514104 has 128 divisors (see below), whose sum is σ = 64497254400. Its totient is φ = 7072813440.

The previous prime is 23451514087. The next prime is 23451514183. The reversal of 23451514104 is 40141515432.

It is a super-2 number, since 2×234515141042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 9049849 + ... + 9052439.

It is an arithmetic number, because the mean of its divisors is an integer number (503884800).

Almost surely, 223451514104 is an apocalyptic number.

23451514104 is a gapful number since it is divisible by the number (24) 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 23451514104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248627200).

23451514104 is an abundant number, since it is smaller than the sum of its proper divisors (41045740296).

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

23451514104 is a wasteful number, since it uses less digits than its factorization.

23451514104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 23451514104 in words is "twenty-three billion, four hundred fifty-one million, five hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 863 874 1311 1726 1748 2589 2591 2622 3452 3496 5178 5182 5244 6904 7773 10356 10364 10488 15546 16397 19849 20712 20728 31092 32794 39698 49191 49229 59547 59593 62184 65588 79396 98382 98458 119094 119186 131176 147687 158792 178779 196764 196916 238188 238372 295374 357558 377131 393528 393832 476376 476744 590748 715116 754262 1131393 1132267 1181496 1430232 1508524 2236033 2262786 2264534 3017048 3396801 4472066 4525572 4529068 6708099 6793602 8944132 9051144 9058136 13416198 13587204 17888264 26832396 27174408 42484627 51428759 53664792 84969254 102857518 127453881 154286277 169938508 205715036 254907762 308572554 339877016 411430072 509815524 617145108 977146421 1019631048 1234290216 1954292842 2931439263 3908585684 5862878526 7817171368 11725757052 23451514104