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189292438728 = 23342129137209
BaseRepresentation
bin1011000001001010110…
…1010110010011001000
3200002121010010012210000
42300102231112103020
511100132331014403
6222543145523000
716450562116131
oct2602255262310
9602533105700
10189292438728
1173307712a08
12308297a3460
1314b08b75ac3
149239db6c88
154dcd3ed7a3
hex2c12b564c8

189292438728 has 80 divisors (see below), whose sum is σ = 530446999500. Its totient is φ = 63067382784.

The previous prime is 189292438723. The next prime is 189292438757. The reversal of 189292438728 is 827834292981.

189292438728 is a `hidden beast` number, since 1 + 8 + 92 + 92 + 438 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185366413764 + 3926024964 = 430542^2 + 62658^2 .

It is not an unprimeable number, because it can be changed into a prime (189292438723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1310988 + ... + 1448196.

Almost surely, 2189292438728 is an apocalyptic number.

189292438728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189292438728 is an abundant number, since it is smaller than the sum of its proper divisors (341154560772).

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

189292438728 is a wasteful number, since it uses less digits than its factorization.

189292438728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139356 (or 139343 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 189292438728 in words is "one hundred eighty-nine billion, two hundred ninety-two million, four hundred thirty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2129 4258 6387 8516 12774 17032 19161 25548 38322 51096 57483 76644 114966 137209 153288 172449 229932 274418 344898 411627 459864 548836 689796 823254 1097672 1234881 1379592 1646508 2469762 3293016 3704643 4939524 7409286 9879048 11113929 14818572 22227858 29637144 44455716 88911432 292117961 584235922 876353883 1168471844 1752707766 2336943688 2629061649 3505415532 5258123298 7010831064 7887184947 10516246596 15774369894 21032493192 23661554841 31548739788 47323109682 63097479576 94646219364 189292438728