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21377062080 = 263351117101131
BaseRepresentation
bin10011111010001011…
…000001010011000000
32001011210201021022000
4103322023001103000
5322240011441310
613453120344000
71354513013103
oct237213012300
961153637260
1021377062080
11907a881160
124187175000
132028a8497a
14106b14673a
15851ace4c0
hex4fa2c14c0

21377062080 has 896 divisors, whose sum is σ = 88642667520. Its totient is φ = 4792320000.

The previous prime is 21377062079. The next prime is 21377062087. The reversal of 21377062080 is 8026077312.

21377062080 is a `hidden beast` number, since 21 + 3 + 7 + 7 + 0 + 620 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21377062087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163183615 + ... + 163183745.

Almost surely, 221377062080 is an apocalyptic number.

21377062080 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 21377062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44321333760).

21377062080 is an abundant number, since it is smaller than the sum of its proper divisors (67265605440).

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

21377062080 is a wasteful number, since it uses less digits than its factorization.

21377062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 21377062080 in words is "twenty-one billion, three hundred seventy-seven million, sixty-two thousand, eighty".