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493080041120 = 2553081750257
BaseRepresentation
bin1110010110011011101…
…11000101011010100000
31202010201121002101020012
413023031313011122200
531034311442303440
61014303504304052
750423661124202
oct7131567053240
91663647071205
10493080041120
11180128912a17
127b68b612028
13376605bab54
1419c18180772
15cc5d379e65
hex72cddc56a0

493080041120 has 24 divisors (see below), whose sum is σ = 1164901597524. Its totient is φ = 197232016384.

The previous prime is 493080041107. The next prime is 493080041137. The reversal of 493080041120 is 21140080394.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 460004071696 + 33075969424 = 678236^2 + 181868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540874969 + ... + 1540875288.

Almost surely, 2493080041120 is an apocalyptic number.

493080041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493080041120 is an abundant number, since it is smaller than the sum of its proper divisors (671821556404).

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

493080041120 is a wasteful number, since it uses less digits than its factorization.

493080041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081750272 (or 3081750264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 493080041120 in words is "four hundred ninety-three billion, eighty million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3081750257 6163500514 12327001028 15408751285 24654002056 30817502570 49308004112 61635005140 98616008224 123270010280 246540020560 493080041120