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189906160632 = 233372272833329
BaseRepresentation
bin1011000011011101001…
…0100000101111111000
3200011011212221111221220
42300313102200233320
511102411434120012
6223124112032040
716502023505616
oct2606722405770
9604155844856
10189906160632
11735a20932a1
123097b232620
1314ba6067366
1492976d26b6
154e1722c08c
hex2c374a0bf8

189906160632 has 128 divisors (see below), whose sum is σ = 491623084800. Its totient is φ = 61084827648.

The previous prime is 189906160627. The next prime is 189906160651. The reversal of 189906160632 is 236061609981.

189906160632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57044344 + ... + 57047672.

It is an arithmetic number, because the mean of its divisors is an integer number (3840805350).

Almost surely, 2189906160632 is an apocalyptic number.

189906160632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189906160632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245811542400).

189906160632 is an abundant number, since it is smaller than the sum of its proper divisors (301716924168).

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

189906160632 is a wasteful number, since it uses less digits than its factorization.

189906160632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 189906160632 in words is "one hundred eighty-nine billion, nine hundred six million, one hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 227 283 296 444 454 566 681 849 888 908 1132 1362 1698 1816 2264 2724 3329 3396 5448 6658 6792 8399 9987 10471 13316 16798 19974 20942 25197 26632 31413 33596 39948 41884 50394 62826 64241 67192 79896 83768 100788 123173 125652 128482 192723 201576 246346 251304 256964 369519 385446 492692 513928 739038 755683 770892 942107 985384 1478076 1511366 1541784 1884214 2267049 2376917 2826321 2956152 3022732 3768428 4534098 4753834 5652642 6045464 7130751 7536856 9068196 9507668 11305284 14261502 18136392 19015336 22610568 27960271 28523004 34857959 55920542 57046008 69715918 83880813 104573877 111841084 139431836 167761626 209147754 213858289 223682168 278863672 335523252 418295508 427716578 641574867 671046504 836591016 855433156 1283149734 1710866312 2566299468 5132598936 7912756693 15825513386 23738270079 31651026772 47476540158 63302053544 94953080316 189906160632