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13329287680 = 29510350551
BaseRepresentation
bin11000110100111110…
…01100101000000000
31021101221101222020111
430122133030220000
5204244244201210
610042352521104
7651212035012
oct143237145000
937357358214
1013329287680
115720043135
1226bbb50194
131345685497
149063a41b2
155302e888a
hex31a7cca00

13329287680 has 80 divisors (see below), whose sum is σ = 32269970304. Its totient is φ = 5279846400.

The previous prime is 13329287677. The next prime is 13329287701. The reversal of 13329287680 is 8678292331.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238405 + ... + 288955.

Almost surely, 213329287680 is an apocalyptic number.

13329287680 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 13329287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134985152).

13329287680 is an abundant number, since it is smaller than the sum of its proper divisors (18940682624).

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

13329287680 is an equidigital number, since it uses as much as digits as its factorization.

13329287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50677 (or 50661 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 13329287680 in words is "thirteen billion, three hundred twenty-nine million, two hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 824 1030 1280 1648 2060 2560 3296 4120 6592 8240 13184 16480 26368 32960 50551 52736 65920 101102 131840 202204 252755 263680 404408 505510 808816 1011020 1617632 2022040 3235264 4044080 5206753 6470528 8088160 10413506 12941056 16176320 20827012 25882112 26033765 32352640 41654024 52067530 64705280 83308048 104135060 129410560 166616096 208270120 333232192 416540240 666464384 833080480 1332928768 1666160960 2665857536 3332321920 6664643840 13329287680