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11946092040 = 23325107310127
BaseRepresentation
bin10110010000000101…
…01110011000001000
31010211112200100112100
423020002232120020
5143431144421130
65253222113400
7602015051451
oct131002563010
933745610470
1011946092040
115080291843
12239487b860
131184c3b71c
148147c8128
1549db72c60
hex2c80ae608

11946092040 has 96 divisors (see below), whose sum is σ = 39187774080. Its totient is φ = 3155842176.

The previous prime is 11946091979. The next prime is 11946092047. The reversal of 11946092040 is 4029064911.

It is a happy number.

11946092040 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 609 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11946091986 and 11946092004.

It is not an unprimeable number, because it can be changed into a prime (11946092047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116544 + ... + 193583.

It is an arithmetic number, because the mean of its divisors is an integer number (408205980).

Almost surely, 211946092040 is an apocalyptic number.

11946092040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11946092040 is an abundant number, since it is smaller than the sum of its proper divisors (27241682040).

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

11946092040 is a wasteful number, since it uses less digits than its factorization.

11946092040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310251 (or 310244 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11946092040 in words is "eleven billion, nine hundred forty-six million, ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 38520 310127 620254 930381 1240508 1550635 1860762 2481016 2791143 3101270 3721524 4651905 5582286 6202540 7443048 9303810 11164572 12405080 13955715 18607620 22329144 27911430 33183589 37215240 55822860 66367178 99550767 111645720 132734356 165917945 199101534 265468712 298652301 331835890 398203068 497753835 597304602 663671780 796406136 995507670 1194609204 1327343560 1493261505 1991015340 2389218408 2986523010 3982030680 5973046020 11946092040