Search a number
-
+
6131467772448 = 253607105221509
BaseRepresentation
bin101100100111001011111…
…1101010110001000100000
3210201011101112100100210120
41121032113331112020200
51300424221222204243
621012431333400240
71201661326066404
oct131162775261040
923634345310716
106131467772448
111a5438278a767
128303a0199080
1335626c351a25
14172a9c1ad104
15a9760acbc83
hex59397f56220

6131467772448 has 48 divisors (see below), whose sum is σ = 16121618876160. Its totient is φ = 2040455483136.

The previous prime is 6131467772401. The next prime is 6131467772483. The reversal of 6131467772448 is 8442777641316.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 6131467772391 and 6131467772400.

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, 52552483 + ... + 52669026.

It is an arithmetic number, because the mean of its divisors is an integer number (335867059920).

Almost surely, 26131467772448 is an apocalyptic number.

It is an amenable number.

6131467772448 is an abundant number, since it is smaller than the sum of its proper divisors (9990151103712).

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

6131467772448 is a wasteful number, since it uses less digits than its factorization.

6131467772448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105222129 (or 105222121 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 60.

The spelling of 6131467772448 in words is "six trillion, one hundred thirty-one billion, four hundred sixty-seven million, seven hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 58272 105221509 210443018 315664527 420886036 631329054 841772072 1262658108 1683544144 2525316216 3367088288 5050632432 10101264864 63869455963 127738911926 191608367889 255477823852 383216735778 510955647704 766433471556 1021911295408 1532866943112 2043822590816 3065733886224 6131467772448