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20452106183040 = 2732573171600141
BaseRepresentation
bin1001010011001111000001…
…00001100010000110000000
32200102012110110000020020200
410221213200201202012000
510140041403140324130
6111255322354405200
74210421154123660
oct451474041420600
980365413006220
1020452106183040
116575764833a24
122363908b90800
13b54818b3603c
14509c5c76a1a0
15257015ead760
hex1299e0862180

20452106183040 has 384 divisors, whose sum is σ = 80967441222720. Its totient is φ = 4660017315840.

The previous prime is 20452106183023. The next prime is 20452106183099. The reversal of 20452106183040 is 4038160125402.

It is a happy number.

20452106183040 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 1 + 0 + 618 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20452106182986 and 20452106183004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11981370 + ... + 13581510.

Almost surely, 220452106183040 is an apocalyptic number.

20452106183040 is a gapful number since it is divisible by the number (20) 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 20452106183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40483720611360).

20452106183040 is an abundant number, since it is smaller than the sum of its proper divisors (60515335039680).

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

20452106183040 is a wasteful number, since it uses less digits than its factorization.

20452106183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600490 (or 1600475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20452106183040 in words is "twenty trillion, four hundred fifty-two billion, one hundred six million, one hundred eighty-three thousand, forty".