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18431453040 = 243571113174513
BaseRepresentation
bin10001001010100110…
…011010011101110000
31202120112000211022220
4101022212122131300
5300221422444130
612244534001040
71221514523460
oct211246323560
952515024286
1018431453040
1178a9090520
1236a47a6180
131979735340
14c6bc5bba0
1572d1d1410
hex44a99a770

18431453040 has 640 divisors, whose sum is σ = 81246799872. Its totient is φ = 3326607360.

The previous prime is 18431452997. The next prime is 18431453113. The reversal of 18431453040 is 4035413481.

It is a super-2 number, since 2×184314530402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 18431452992 and 18431453010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4081824 + ... + 4086336.

Almost surely, 218431453040 is an apocalyptic number.

18431453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18431453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40623399936).

18431453040 is an abundant number, since it is smaller than the sum of its proper divisors (62815346832).

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

18431453040 is a wasteful number, since it uses less digits than its factorization.

18431453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 18431453040 in words is "eighteen billion, four hundred thirty-one million, four hundred fifty-three thousand, forty".