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21976700928 = 2113713231709
BaseRepresentation
bin10100011101111010…
…011101100000000000
32002201121001002011020
4110131322131200000
5330002013412203
614032420545440
71405413606240
oct243572354000
962647032136
1021976700928
119358302756
124313b52280
1320c3085060
1410c6a37b20
1588957a153
hex51de9d800

21976700928 has 384 divisors, whose sum is σ = 75290342400. Its totient is φ = 5540806656.

The previous prime is 21976700899. The next prime is 21976700953. The reversal of 21976700928 is 82900767912.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×219767009282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12858538 + ... + 12860246.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 221976700928 is an apocalyptic number.

21976700928 is a gapful number since it is divisible by the number (28) 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 21976700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

21976700928 is an abundant number, since it is smaller than the sum of its proper divisors (53313641472).

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

21976700928 is a wasteful number, since it uses less digits than its factorization.

21976700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 21976700928 in words is "twenty-one billion, nine hundred seventy-six million, seven hundred thousand, nine hundred twenty-eight".