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20832463872 = 21036114359
BaseRepresentation
bin10011011001101101…
…100010110000000000
31222202211221211000000
4103121231202300000
5320131102320442
613323104000000
71335151010163
oct233155426000
958684854000
1020832463872
1189204234a0
124054900000
131c6ccb60cc
141018aa1ada
1581dda6d4c
hex4d9b62c00

20832463872 has 616 divisors, whose sum is σ = 70879913280. Its totient is φ = 6061547520.

The previous prime is 20832463859. The next prime is 20832463913. The reversal of 20832463872 is 27836423802.

20832463872 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 2 + 4 + 638 + 7 + 2 = 666.

It is a super-3 number, since 3×208324638723 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 353092579 + ... + 353092637.

Almost surely, 220832463872 is an apocalyptic number.

20832463872 is a gapful number since it is divisible by the number (22) 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 20832463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35439956640).

20832463872 is an abundant number, since it is smaller than the sum of its proper divisors (50047449408).

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

20832463872 is an equidigital number, since it uses as much as digits as its factorization.

20832463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20832463872 in words is "twenty billion, eight hundred thirty-two million, four hundred sixty-three thousand, eight hundred seventy-two".