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20305693176 = 2336125155259
BaseRepresentation
bin10010111010010100…
…000100100111111000
31221102010202002110020
4102322110010213320
5313041224140201
613154525250440
71316123354436
oct227224044770
957363662406
1020305693176
11868004190a
123b28403a20
131bb7b19b82
14da8b3bd56
157dca01a36
hex4ba5049f8

20305693176 has 64 divisors (see below), whose sum is σ = 51802934400. Its totient is φ = 6630960000.

The previous prime is 20305693153. The next prime is 20305693183. The reversal of 20305693176 is 67139650302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339835 + ... + 395093.

It is an arithmetic number, because the mean of its divisors is an integer number (809420850).

Almost surely, 220305693176 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 20305693176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901467200).

20305693176 is an abundant number, since it is smaller than the sum of its proper divisors (31497241224).

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

20305693176 is a wasteful number, since it uses less digits than its factorization.

20305693176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55580 (or 55576 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 20305693176 in words is "twenty billion, three hundred five million, six hundred ninety-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 251 366 488 502 732 753 1004 1464 1506 2008 3012 6024 15311 30622 45933 55259 61244 91866 110518 122488 165777 183732 221036 331554 367464 442072 663108 1326216 3370799 6741598 10112397 13483196 13870009 20224794 26966392 27740018 40449588 41610027 55480036 80899176 83220054 110960072 166440108 332880216 846070549 1692141098 2538211647 3384282196 5076423294 6768564392 10152846588 20305693176