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21097115424 = 253272111923311
BaseRepresentation
bin10011101001011111…
…000110111100100000
32000110021221111200100
4103221133012330200
5321201330143144
613405240222400
71344543344100
oct235137067440
960407844610
1021097115424
118a46854090
12410946aa00
131cb2a88668
141041cb3200
15837232269
hex4e97c6f20

21097115424 has 864 divisors, whose sum is σ = 83894952960. Its totient is φ = 4949683200.

The previous prime is 21097115407. The next prime is 21097115437. The reversal of 21097115424 is 42451179012.

21097115424 is a `hidden beast` number, since 2 + 10 + 97 + 11 + 542 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67836229 + ... + 67836539.

It is an arithmetic number, because the mean of its divisors is an integer number (97100640).

Almost surely, 221097115424 is an apocalyptic number.

21097115424 is a gapful number since it is divisible by the number (24) 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 21097115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947476480).

21097115424 is an abundant number, since it is smaller than the sum of its proper divisors (62797837536).

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

21097115424 is a wasteful number, since it uses less digits than its factorization.

21097115424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21097115424 in words is "twenty-one billion, ninety-seven million, one hundred fifteen thousand, four hundred twenty-four".