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1080048134800 = 245214918121613
BaseRepresentation
bin11111011011101111110…
…00101010101010010000
310211020210102010000000101
433231313320222222100
5120143414310303200
62144100043502144
7141013412446225
oct17556770525220
93736712100011
101080048134800
113870560193a8
121553a1b27954
137ab04384a8b
143a3bb75194c
151d16409226a
hexfb77e2aa90

1080048134800 has 60 divisors (see below), whose sum is σ = 2612230658100. Its totient is φ = 429119772160.

The previous prime is 1080048134761. The next prime is 1080048134821. The reversal of 1080048134800 is 84318400801.

It can be written as a sum of positive squares in 6 ways, for example, as 459879284736 + 620168850064 = 678144^2 + 787508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1080048134800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9001207 + ... + 9120406.

It is an arithmetic number, because the mean of its divisors is an integer number (43537177635).

Almost surely, 21080048134800 is an apocalyptic number.

1080048134800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1080048134800 is an abundant number, since it is smaller than the sum of its proper divisors (1532182523300).

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

1080048134800 is a wasteful number, since it uses less digits than its factorization.

1080048134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121780 (or 18121769 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 1080048134800 in words is "one trillion, eighty billion, forty-eight million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 18121613 36243226 72486452 90608065 144972904 181216130 289945808 362432260 453040325 724864520 906080650 1449729040 1812161300 2700120337 3624322600 5400240674 7248645200 10800481348 13500601685 21600962696 27001203370 43201925392 54002406740 67503008425 108004813480 135006016850 216009626960 270012033700 540024067400 1080048134800