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21169060416 = 2632717237491
BaseRepresentation
bin10011101101110001…
…100011101001000000
32000122022022200122200
4103231301203221000
5321323234413131
613420330233200
71346406021210
oct235561435100
960568280580
1021169060416
118a83423459
124129585800
131cc495856a
14104b680240
1583d6e42e6
hex4edc63a40

21169060416 has 504 divisors, whose sum is σ = 75809587776. Its totient is φ = 5527388160.

The previous prime is 21169060391. The next prime is 21169060441. The reversal of 21169060416 is 61406096112.

21169060416 is a `hidden beast` number, since 21 + 16 + 9 + 0 + 604 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (21169060391) and next prime (21169060441).

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 43113931 + ... + 43114421.

Almost surely, 221169060416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21169060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904793888).

21169060416 is an abundant number, since it is smaller than the sum of its proper divisors (54640527360).

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

21169060416 is a wasteful number, since it uses less digits than its factorization.

21169060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21169060416 in words is "twenty-one billion, one hundred sixty-nine million, sixty thousand, four hundred sixteen".