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129661648896 = 214313202921
BaseRepresentation
bin111100011000001101…
…1111100000000000000
3110101200100021020011110
41320300123330000000
54111021340231041
6135322111043320
712240064554663
oct1706033740000
9411610236143
10129661648896
114aa97690a1a
1221167510540
13c2c4a69890
1463c05916da
15358d2cb516
hex1e306fc000

129661648896 has 120 divisors (see below), whose sum is σ = 372352129744. Its totient is φ = 39895695360.

The previous prime is 129661648891. The next prime is 129661648943. The reversal of 129661648896 is 698846166921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129661648891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537516 + ... + 740436.

Almost surely, 2129661648896 is an apocalyptic number.

129661648896 is a gapful number since it is divisible by the number (16) 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 129661648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186176064872).

129661648896 is an abundant number, since it is smaller than the sum of its proper divisors (242690480848).

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

129661648896 is an equidigital number, since it uses as much as digits as its factorization.

129661648896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202965 (or 202939 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 66.

The spelling of 129661648896 in words is "one hundred twenty-nine billion, six hundred sixty-one million, six hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16384 19968 24576 26624 39936 49152 53248 79872 106496 159744 202921 212992 319488 405842 608763 638976 811684 1217526 1623368 2435052 2637973 3246736 4870104 5275946 6493472 7913919 9740208 10551892 12986944 15827838 19480416 21103784 25973888 31655676 38960832 42207568 51947776 63311352 77921664 84415136 103895552 126622704 155843328 168830272 207791104 253245408 311686656 337660544 415582208 506490816 623373312 675321088 831164416 1012981632 1246746624 1350642176 1662328832 2025963264 2493493248 2701284352 3324657664 4051926528 4986986496 5402568704 8103853056 9973972992 10805137408 16207706112 21610274816 32415412224 43220549632 64830824448 129661648896