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450522035040 = 253571112189449
BaseRepresentation
bin1101000111001010011…
…01001011001101100000
31121001212122200200001210
412203211031023031200
524340132120110130
6542544510430120
744356233053550
oct6434515131540
91531778620053
10450522035040
11164079a42070
1273392b02340
133363a5a992c
1417b3bd83160
15babc00a5b0
hex68e534b360

450522035040 has 192 divisors, whose sum is σ = 1769323046400. Its totient is φ = 93614960640.

The previous prime is 450522035021. The next prime is 450522035053. The reversal of 450522035040 is 40530225054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 450522034989 and 450522035007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6057765 + ... + 6131684.

It is an arithmetic number, because the mean of its divisors is an integer number (9215224200).

Almost surely, 2450522035040 is an apocalyptic number.

450522035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450522035040 is an abundant number, since it is smaller than the sum of its proper divisors (1318801011360).

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

450522035040 is a wasteful number, since it uses less digits than its factorization.

450522035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189485 (or 12189477 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 450522035040 in words is "four hundred fifty billion, five hundred twenty-two million, thirty-five thousand, forty".