Search a number
-
+
12157115537070 = 233576432336263
BaseRepresentation
bin1011000011101000110010…
…0011011001011010101110
31121001012122021200100112000
42300322030203121122232
53043140233034141240
641504522441153130
72363215441025550
oct260721443313256
947035567610460
1012157115537070
1139678928702a9
12144416948b7a6
136a25461986ba
1430059c3a34d0
1516137b53c430
hexb0e8c8d96ae

12157115537070 has 64 divisors (see below), whose sum is σ = 37050256880640. Its totient is φ = 2778769265184.

The previous prime is 12157115537051. The next prime is 12157115537087. The reversal of 12157115537070 is 7073551175121.

It is a happy number.

12157115537070 is a `hidden beast` number, since 1 + 2 + 1 + 571 + 1 + 5 + 5 + 3 + 7 + 0 + 70 = 666.

12157115537070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216166242 + ... + 3216170021.

It is an arithmetic number, because the mean of its divisors is an integer number (578910263760).

Almost surely, 212157115537070 is an apocalyptic number.

12157115537070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12157115537070 is an abundant number, since it is smaller than the sum of its proper divisors (24893141343570).

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

12157115537070 is a wasteful number, since it uses less digits than its factorization.

12157115537070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432336286 (or 6432336280 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 45.

The spelling of 12157115537070 in words is "twelve trillion, one hundred fifty-seven billion, one hundred fifteen million, five hundred thirty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6432336263 12864672526 19297008789 32161681315 38594017578 45026353841 57891026367 64323362630 90052707682 96485043945 115782052734 135079061523 173673079101 192970087890 225131769205 270158123046 289455131835 347346158202 405237184569 450263538410 578910263670 675395307615 810474369138 868365395505 1215711553707 1350790615230 1736730791010 2026185922845 2431423107414 4052371845690 6078557768535 12157115537070