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20552706720 = 2535571337157
BaseRepresentation
bin10011001001000010…
…010110101010100000
31222001100112200100000
4103021002112222200
5314042443103340
613235231500000
71325213060520
oct231102265240
958040480300
1020552706720
118797515837
123b97087600
131c27055130
14dcd87b680
15804545d30
hex4c9096aa0

20552706720 has 1152 divisors, whose sum is σ = 92523465216. Its totient is φ = 4192321536.

The previous prime is 20552706703. The next prime is 20552706737. The reversal of 20552706720 is 2760725502.

20552706720 is a `hidden beast` number, since 20 + 552 + 7 + 0 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20552706703) and next prime (20552706737).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130908882 + ... + 130909038.

It is an arithmetic number, because the mean of its divisors is an integer number (80315508).

Almost surely, 220552706720 is an apocalyptic number.

20552706720 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 20552706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46261732608).

20552706720 is an abundant number, since it is smaller than the sum of its proper divisors (71970758496).

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

20552706720 is a wasteful number, since it uses less digits than its factorization.

20552706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 20552706720 in words is "twenty billion, five hundred fifty-two million, seven hundred six thousand, seven hundred twenty".