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13196405700 = 22325258724979
BaseRepresentation
bin11000100101001000…
…10010101111000100
31021001200100212102200
430102210102233010
5204011234440300
610021244434500
7645006412002
oct142244225704
937050325380
1013196405700
115662032a15
122683548a30
131323c9acaa
148d2893a72
155237eb200
hex312912bc4

13196405700 has 108 divisors (see below), whose sum is σ = 41435525040. Its totient is φ = 3512905920.

The previous prime is 13196405689. The next prime is 13196405731. The reversal of 13196405700 is 750469131.

13196405700 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 640 + 5 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 515811 + ... + 540789.

Almost surely, 213196405700 is an apocalyptic number.

13196405700 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 13196405700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717762520).

13196405700 is an abundant number, since it is smaller than the sum of its proper divisors (28239119340).

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

13196405700 is a wasteful number, since it uses less digits than its factorization.

13196405700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25586 (or 25576 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13196405700 in words is "thirteen billion, one hundred ninety-six million, four hundred five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 587 900 1174 1761 2348 2935 3522 5283 5870 7044 8805 10566 11740 14675 17610 21132 24979 26415 29350 35220 44025 49958 52830 58700 74937 88050 99916 105660 124895 132075 149874 176100 224811 249790 264150 299748 374685 449622 499580 528300 624475 749370 899244 1124055 1248950 1498740 1873425 2248110 2497900 3746850 4496220 5620275 7493700 11240550 14662673 22481100 29325346 43988019 58650692 73313365 87976038 131964057 146626730 175952076 219940095 263928114 293253460 366566825 439880190 527856228 659820285 733133650 879760380 1099700475 1319640570 1466267300 2199400950 2639281140 3299101425 4398801900 6598202850 13196405700