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13797130880 = 275131658309
BaseRepresentation
bin11001101100101111…
…11000001010000000
31022121112201212110102
430312113320022000
5211224031142010
610201024221532
7665622451241
oct146627701200
938545655412
1013797130880
115940136705
12281076a8a8
1313bb58b990
1494c588cc8
1555b40dba5
hex3365f8280

13797130880 has 64 divisors (see below), whose sum is σ = 35521000200. Its totient is φ = 5094322176.

The previous prime is 13797130769. The next prime is 13797130883. The reversal of 13797130880 is 8803179731.

It can be written as a sum of positive squares in 4 ways, for example, as 4229161024 + 9567969856 = 65032^2 + 97816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13797130883) 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, 820835 + ... + 837474.

Almost surely, 213797130880 is an apocalyptic number.

13797130880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13797130880 is an abundant number, since it is smaller than the sum of its proper divisors (21723869320).

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

13797130880 is a wasteful number, since it uses less digits than its factorization.

13797130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658341 (or 1658329 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 13797130880 in words is "thirteen billion, seven hundred ninety-seven million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1658309 3316618 6633236 8291545 13266472 16583090 21558017 26532944 33166180 43116034 53065888 66332360 86232068 106131776 107790085 132664720 172464136 212263552 215580170 265329440 344928272 431160340 530658880 689856544 862320680 1061317760 1379713088 1724641360 2759426176 3449282720 6898565440 13797130880