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12959733080 = 2357172779829
BaseRepresentation
bin11000001000111010…
…11101010101011000
31020110012000122122002
430010131131111120
5203020142424310
65541552020132
7636103625240
oct140435352530
936405018562
1012959733080
115550482308
122618231648
1312b6c43818
148ad286b20
1550cb4ada5
hex30475d558

12959733080 has 128 divisors (see below), whose sum is σ = 35416310400. Its totient is φ = 4166443008.

The previous prime is 12959733079. The next prime is 12959733133. The reversal of 12959733080 is 8033795921.

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, 1313606 + ... + 1323434.

It is an arithmetic number, because the mean of its divisors is an integer number (276689925).

Almost surely, 212959733080 is an apocalyptic number.

12959733080 is a gapful number since it is divisible by the number (10) 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 12959733080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708155200).

12959733080 is an abundant number, since it is smaller than the sum of its proper divisors (22456577320).

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

12959733080 is a wasteful number, since it uses less digits than its factorization.

12959733080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 12959733080 in words is "twelve billion, nine hundred fifty-nine million, seven hundred thirty-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 277 280 340 476 554 595 680 952 1108 1190 1385 1939 2216 2380 2770 3878 4709 4760 5540 7756 9418 9695 9829 11080 15512 18836 19390 19658 23545 32963 37672 38780 39316 47090 49145 65926 68803 77560 78632 94180 98290 131852 137606 164815 167093 188360 196580 263704 275212 329630 334186 344015 393160 550424 659260 668372 688030 835465 1169651 1318520 1336744 1376060 1670930 2339302 2722633 2752120 3341860 4678604 5445266 5848255 6683720 9357208 10890532 11696510 13613165 19058431 21781064 23393020 27226330 38116862 46284761 46786040 54452660 76233724 92569522 95292155 108905320 152467448 185139044 190584310 231423805 323993327 370278088 381168620 462847610 647986654 762337240 925695220 1295973308 1619966635 1851390440 2591946616 3239933270 6479866540 12959733080