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18946201158 = 236198272
BaseRepresentation
bin10001101001010010…
…000001011001000110
31210220101121202000000
4101221102001121012
5302300211414113
612412002502130
71240335024033
oct215122013106
953811552000
1018946201158
118042700395
123809064946
131a2c282221
14cba37238a
1575d4ae373
hex469481646

18946201158 has 84 divisors (see below), whose sum is σ = 44906364060. Its totient is φ = 5975776296.

The previous prime is 18946201133. The next prime is 18946201163. The reversal of 18946201158 is 85110264981.

It is a happy number.

18946201158 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 620 + 1 + 15 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 22909141 + ... + 22909967.

Almost surely, 218946201158 is an apocalyptic number.

18946201158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18946201158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453182030).

18946201158 is an abundant number, since it is smaller than the sum of its proper divisors (25960162902).

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

18946201158 is an frugal number, since it uses more digits than its factorization.

18946201158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 18946201158 in words is "eighteen billion, nine hundred forty-six million, two hundred one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 827 1026 1458 1539 1654 2481 3078 4617 4962 7443 9234 13851 14886 15713 22329 27702 31426 44658 47139 66987 94278 133974 141417 200961 282834 401922 424251 602883 683929 848502 1205766 1272753 1367858 2051787 2545506 3818259 4103574 6155361 7636518 11454777 12310722 12994651 18466083 22909554 25989302 36932166 38983953 55398249 77967906 110796498 116951859 166194747 233903718 332389494 350855577 498584241 701711154 997168482 1052566731 2105133462 3157700193 6315400386 9473100579 18946201158