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20178395136 = 2133391229
BaseRepresentation
bin10010110010101110…
…011110000000000000
31221002021012200101000
4102302232132000000
5312311132121021
613134141012000
71313016346224
oct226256360000
957067180330
1020178395136
1186151a5a19
123ab1854000
131b976391a3
14d95c82784
157d1758b26
hex4b2b9e000

20178395136 has 112 divisors (see below), whose sum is σ = 59784843600. Its totient is φ = 6726057984.

The previous prime is 20178395131. The next prime is 20178395173. The reversal of 20178395136 is 63159387102.

It is a junction number, because it is equal to n+sod(n) for n = 20178395091 and 20178395100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20178395131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175570 + ... + 266798.

Almost surely, 220178395136 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 20178395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892421800).

20178395136 is an abundant number, since it is smaller than the sum of its proper divisors (39606448464).

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

20178395136 is an frugal number, since it uses more digits than its factorization.

20178395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91264 (or 91234 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20178395136 in words is "twenty billion, one hundred seventy-eight million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 55296 73728 91229 110592 182458 221184 273687 364916 547374 729832 821061 1094748 1459664 1642122 2189496 2463183 2919328 3284244 4378992 4926366 5838656 6568488 8757984 9852732 11677312 13136976 17515968 19705464 23354624 26273952 35031936 39410928 46709248 52547904 70063872 78821856 93418496 105095808 140127744 157643712 186836992 210191616 280255488 315287424 373673984 420383232 560510976 630574848 747347968 840766464 1121021952 1261149696 1681532928 2242043904 2522299392 3363065856 5044598784 6726131712 10089197568 20178395136