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20653336440 = 23325118958601
BaseRepresentation
bin10011001111000010…
…001110011101111000
31222022100220012100200
4103033002032131320
5314244223231230
613253224402200
71330544314602
oct231702163570
958270805320
1020653336440
1188392a73a0
124004916360
131c41b59449
14ddcd94172
1580d2c2160
hex4cf08e778

20653336440 has 192 divisors, whose sum is σ = 74049487200. Its totient is φ = 4950528000.

The previous prime is 20653336439. The next prime is 20653336463. The reversal of 20653336440 is 4463335602.

20653336440 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 3 + 3 + 3 + 644 + 0 = 666.

It is a super-2 number, since 2×206533364402 (a number of 21 digits) contains 22 as substring.

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 = 20653336395 and 20653336404.

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, 323140 + ... + 381740.

Almost surely, 220653336440 is an apocalyptic number.

20653336440 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 20653336440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37024743600).

20653336440 is an abundant number, since it is smaller than the sum of its proper divisors (53396150760).

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

20653336440 is a wasteful number, since it uses less digits than its factorization.

20653336440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58718 (or 58711 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 20653336440 in words is "twenty billion, six hundred fifty-three million, three hundred thirty-six thousand, four hundred forty".