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189950903064 = 233313646910457
BaseRepresentation
bin1011000011100111110…
…1001100001100011000
3200011022000010200001000
42300321331030030120
511103004412344224
6223132351025000
716503106015206
oct2607175141430
9604260120030
10189950903064
1173615372a0a
123099220b160
1314bb2401680
14929d61c076
154e1b1190c9
hex2c39f4c318

189950903064 has 128 divisors (see below), whose sum is σ = 568371384000. Its totient is φ = 58431808512.

The previous prime is 189950903063. The next prime is 189950903071. The reversal of 189950903064 is 460309059981.

189950903064 is a `hidden beast` number, since 18 + 99 + 509 + 0 + 30 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 189950903064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189950903063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18159724 + ... + 18170180.

Almost surely, 2189950903064 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 189950903064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284185692000).

189950903064 is an abundant number, since it is smaller than the sum of its proper divisors (378420480936).

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

189950903064 is a wasteful number, since it uses less digits than its factorization.

189950903064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16954 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 189950903064 in words is "one hundred eighty-nine billion, nine hundred fifty million, nine hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 6469 10457 12938 19407 20914 25876 31371 38814 41828 51752 58221 62742 77628 83656 84097 94113 116442 125484 135941 155256 168194 174663 188226 232884 250968 252291 271882 282339 336388 349326 376452 407823 465768 504582 543764 564678 672776 698652 752904 756873 815646 1009164 1087528 1129356 1223469 1397304 1513746 1631292 2018328 2258712 2270619 2446938 3027492 3262584 3670407 4541238 4893876 6054984 7340814 9082476 9787752 14681628 18164952 29363256 67646333 135292666 202938999 270585332 405877998 541170664 608816997 811755996 879402329 1217633994 1623511992 1758804658 1826450991 2435267988 2638206987 3517609316 3652901982 4870535976 5276413974 7035218632 7305803964 7914620961 10552827948 14611607928 15829241922 21105655896 23743862883 31658483844 47487725766 63316967688 94975451532 189950903064