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189193327620 = 223511236317177
BaseRepresentation
bin1011000000110011001…
…1010001010000000100
3200002100012121211220020
42300030303101100010
511044431442440440
6222525245335140
716445246515353
oct2601463212004
9602305554806
10189193327620
1173266779300
12308005674b0
1314ac1483a8b
14922ab7799a
154dc48723d0
hex2c0ccd1404

189193327620 has 144 divisors (see below), whose sum is σ = 582519162624. Its totient is φ = 45846028800.

The previous prime is 189193327613. The next prime is 189193327633. The reversal of 189193327620 is 26723391981.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 26357472 + ... + 26364648.

Almost surely, 2189193327620 is an apocalyptic number.

189193327620 is a gapful number since it is divisible by the number (10) 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 189193327620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291259581312).

189193327620 is an abundant number, since it is smaller than the sum of its proper divisors (393325835004).

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

189193327620 is a wasteful number, since it uses less digits than its factorization.

189193327620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 189193327620 in words is "one hundred eighty-nine billion, one hundred ninety-three million, three hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 3631 7177 7260 7262 10893 14354 14524 18155 21531 21786 28708 35885 36310 39941 43062 43572 54465 71770 72620 78947 79882 86124 107655 108930 119823 143540 157894 159764 199705 215310 217860 236841 239646 315788 394735 399410 430620 439351 473682 479292 599115 789470 798820 868417 878702 947364 1184205 1198230 1318053 1578940 1736834 1757404 2196755 2368410 2396460 2605251 2636106 3473668 4342085 4393510 4736820 5210502 5272212 6590265 8684170 8787020 10421004 13026255 13180530 17368340 26052510 26059687 26361060 52105020 52119374 78179061 104238748 130298435 156358122 260596870 286656557 312716244 390895305 521193740 573313114 781790610 859969671 1146626228 1433282785 1563581220 1719939342 2866565570 3153222127 3439878684 4299848355 5733131140 6306444254 8599696710 9459666381 12612888508 15766110635 17199393420 18919332762 31532221270 37838665524 47298331905 63064442540 94596663810 189193327620