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1820160198036 = 223411349714853
BaseRepresentation
bin11010011111001010000…
…000001000010110010100
320110000011002112100010000
4122133022000020112110
5214310142002314121
63512100421531300
7245334160260435
oct32371200102624
96400132470100
101820160198036
11641a1aa86884
12254913b73b30
13102842b7c77b
146414c07548c
153252e8ba526
hex1a7ca008594

1820160198036 has 60 divisors (see below), whose sum is σ = 4800366872532. Its totient is φ = 601350849792.

The previous prime is 1820160197993. The next prime is 1820160198049. The reversal of 1820160198036 is 6308910610281.

1820160198036 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 1 + 601 + 9 + 8 + 0 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 768112016400 + 1052048181636 = 876420^2 + 1025694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1820160197982 and 1820160198000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24820815 + ... + 24894038.

Almost surely, 21820160198036 is an apocalyptic number.

It is an amenable number.

1820160198036 is an abundant number, since it is smaller than the sum of its proper divisors (2980206674496).

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

1820160198036 is a wasteful number, since it uses less digits than its factorization.

1820160198036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49714982 (or 49714971 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1820160198036 in words is "one trillion, eight hundred twenty billion, one hundred sixty million, one hundred ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 12204 18306 36612 49714853 99429706 149144559 198859412 298289118 447433677 596578236 894867354 1342301031 1789734708 2684602062 4026903093 5369204124 5617778389 8053806186 11235556778 16107612372 16853335167 22471113556 33706670334 50560005501 67413340668 101120011002 151680016503 202240022004 303360033006 455040049509 606720066012 910080099018 1820160198036