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21913931969370 = 2325729311392511109
BaseRepresentation
bin1001111101110001111000…
…01000010111001101011010
32212120221200121010101110200
410332320330020113031122
510333014213041004440
6114335042114323030
74421141443234650
oct476707410271532
985527617111420
1021913931969370
116a897123355a1
12255b097589476
13c2c62351821c
1455a8d60d4dd0
15280071cbec30
hex13ee3c21735a

21913931969370 has 768 divisors, whose sum is σ = 70376656896000. Its totient is φ = 4623816960000.

The previous prime is 21913931969353. The next prime is 21913931969381. The reversal of 21913931969370 is 7396913931912.

21913931969370 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 393 + 1 + 96 + 93 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 21913931969298 and 21913931969307.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19760082376 + ... + 19760083484.

It is an arithmetic number, because the mean of its divisors is an integer number (91636272000).

Almost surely, 221913931969370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21913931969370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35188328448000).

21913931969370 is an abundant number, since it is smaller than the sum of its proper divisors (48462724926630).

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

21913931969370 is a wasteful number, since it uses less digits than its factorization.

21913931969370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 21913931969370 in words is "twenty-one trillion, nine hundred thirteen billion, nine hundred thirty-one million, nine hundred sixty-nine thousand, three hundred seventy".