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10021156992 = 2732721116139
BaseRepresentation
bin10010101010100111…
…01011100010000000
3221212101120112001200
421111103223202000
5131010404010432
64334220101200
7503222300100
oct112523534200
927771515050
1010021156992
114282755630
121b38094800
13c391b73c2
146b0cad200
153d9b8ba7c
hex2554eb880

10021156992 has 288 divisors, whose sum is σ = 36596804400. Its totient is φ = 2602736640.

The previous prime is 10021156967. The next prime is 10021157039. The reversal of 10021156992 is 29965112001.

10021156992 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 1 + 569 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 612859 + ... + 628997.

Almost surely, 210021156992 is an apocalyptic number.

10021156992 is a gapful number since it is divisible by the number (12) 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 10021156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298402200).

10021156992 is an abundant number, since it is smaller than the sum of its proper divisors (26575647408).

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

10021156992 is a wasteful number, since it uses less digits than its factorization.

10021156992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16184 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Adding to 10021156992 its reverse (29965112001), we get a palindrome (39986268993).

The spelling of 10021156992 in words is "ten billion, twenty-one million, one hundred fifty-six thousand, nine hundred ninety-two".