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199392006132 = 223311612751449
BaseRepresentation
bin1011100110110010110…
…0001000111111110100
3201001122222020101201000
42321230230020333310
511231323323144012
6231333250403300
720256056042064
oct2715454107764
9631588211630
10199392006132
117761a653430
1232787b90530
1315a58384ba7
1499174573a4
1552bedc7ddc
hex2e6cb08ff4

199392006132 has 96 divisors (see below), whose sum is σ = 573182064000. Its totient is φ = 59431276800.

The previous prime is 199392006131. The next prime is 199392006137. The reversal of 199392006132 is 231600293991.

199392006132 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 9 + 20 + 0 + 613 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199392006131) 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, 1303257 + ... + 1448192.

It is an arithmetic number, because the mean of its divisors is an integer number (5970646500).

Almost surely, 2199392006132 is an apocalyptic number.

199392006132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199392006132 is an abundant number, since it is smaller than the sum of its proper divisors (373790057868).

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

199392006132 is a wasteful number, since it uses less digits than its factorization.

199392006132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751534 (or 2751526 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 199392006132 in words is "one hundred ninety-nine billion, three hundred ninety-two million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468 2751449 5502898 8254347 11005796 16508694 24763041 30265939 33017388 49526082 60531878 74289123 90797817 99052164 121063756 148578246 167838389 181595634 272393451 297156492 335676778 363191268 503515167 544786902 671353556 817180353 1007030334 1089573804 1510545501 1634360706 1846222279 2014060668 3021091002 3268721412 3692444558 4531636503 5538666837 6042182004 7384889116 9063273006 11077333674 16616000511 18126546012 22154667348 33232001022 49848001533 66464002044 99696003066 199392006132