Search a number
-
+
1149808813830 = 232533737909951
BaseRepresentation
bin10000101110110101111…
…100100010011100000110
311001220212011010200020100
4100232311330202130012
5122314302024020310
62240114225144530
7146033222442135
oct20566574423406
94056764120210
101149808813830
114036a4111046
12166a1078b146
1384571058691
143d91866b91c
151ed9867cec0
hex10bb5f22706

1149808813830 has 48 divisors (see below), whose sum is σ = 2998373923584. Its totient is φ = 305705836800.

The previous prime is 1149808813817. The next prime is 1149808813841. The reversal of 1149808813830 is 383188089411.

1149808813830 is a `hidden beast` number, since 11 + 498 + 0 + 8 + 8 + 138 + 3 + 0 = 666.

It is a super-2 number, since 2×11498088138302 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18924646 + ... + 18985305.

It is an arithmetic number, because the mean of its divisors is an integer number (62466123408).

Almost surely, 21149808813830 is an apocalyptic number.

1149808813830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1149808813830 is an abundant number, since it is smaller than the sum of its proper divisors (1848565109754).

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

1149808813830 is a wasteful number, since it uses less digits than its factorization.

1149808813830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37910301 (or 37910298 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1149808813830 in words is "one trillion, one hundred forty-nine billion, eight hundred eight million, eight hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 337 674 1011 1685 2022 3033 3370 5055 6066 10110 15165 30330 37909951 75819902 113729853 189549755 227459706 341189559 379099510 568649265 682379118 1137298530 1705947795 3411895590 12775653487 25551306974 38326960461 63878267435 76653920922 114980881383 127756534870 191634802305 229961762766 383269604610 574904406915 1149808813830