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20212376381604 = 223611839751061
BaseRepresentation
bin1001001100010000011111…
…00000111010100010100100
32122120021200021002112000000
410212020033200322202210
510122124421323202404
6110553234301021300
74154203346335041
oct446101740724244
978507607075000
1020212376381604
116493025593990
122325363b54830
13b38032729924
144dc3d9d341c8
15250b84b26339
hex12620f83a8a4

20212376381604 has 168 divisors, whose sum is σ = 57923463648960. Its totient is φ = 6117654081600.

The previous prime is 20212376381591. The next prime is 20212376381621. The reversal of 20212376381604 is 40618367321202.

20212376381604 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 3 + 7 + 6 + 38 + 1 + 604 = 666.

It is a super-2 number, since 2×202123763816042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20212376381604.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26536234 + ... + 27287294.

It is an arithmetic number, because the mean of its divisors is an integer number (344782521720).

Almost surely, 220212376381604 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 20212376381604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28961731824480).

20212376381604 is an abundant number, since it is smaller than the sum of its proper divisors (37711087267356).

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

20212376381604 is a wasteful number, since it uses less digits than its factorization.

20212376381604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751933 (or 751916 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20212376381604 in words is "twenty trillion, two hundred twelve billion, three hundred seventy-six million, three hundred eighty-one thousand, six hundred four".