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20406257532 = 22333161163613
BaseRepresentation
bin10011000000010011…
…101100011101111100
31221200010222021211000
4103000103230131330
5313243000220112
613212520530300
71321454220123
oct230023543574
957603867730
1020406257532
118721889351
123b56020990
131c028ca4cb
14db8238aba
157e67687dc
hex4c04ec77c

20406257532 has 192 divisors, whose sum is σ = 55938641920. Its totient is φ = 6424531200.

The previous prime is 20406257497. The next prime is 20406257549. The reversal of 20406257532 is 23575260402.

20406257532 is a `hidden beast` number, since 20 + 4 + 0 + 62 + 575 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33288858 + ... + 33289470.

Almost surely, 220406257532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20406257532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27969320960).

20406257532 is an abundant number, since it is smaller than the sum of its proper divisors (35532384388).

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

20406257532 is a wasteful number, since it uses less digits than its factorization.

20406257532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20406257532 in words is "twenty billion, four hundred six million, two hundred fifty-seven thousand, five hundred thirty-two".