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20678051520 = 2633573141269
BaseRepresentation
bin10011010000100000…
…100000011011000000
31222101002101212002000
4103100200200123000
5314322040122040
613255510224000
71331264352330
oct232040403300
958332355060
1020678051520
118851248185
124011055000
131c47000a59
1410023890c0
15810555130
hex4d08206c0

20678051520 has 896 divisors, whose sum is σ = 88484659200. Its totient is φ = 4445798400.

The previous prime is 20678051501. The next prime is 20678051567. The reversal of 20678051520 is 2515087602.

It is a happy number.

20678051520 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 80 + 51 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76869946 + ... + 76870214.

It is an arithmetic number, because the mean of its divisors is an integer number (98755200).

Almost surely, 220678051520 is an apocalyptic number.

20678051520 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 20678051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242329600).

20678051520 is an abundant number, since it is smaller than the sum of its proper divisors (67806607680).

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

20678051520 is a wasteful number, since it uses less digits than its factorization.

20678051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20678051520 in words is "twenty billion, six hundred seventy-eight million, fifty-one thousand, five hundred twenty".