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130168788297120 = 2532590394991873
BaseRepresentation
bin11101100110001101001000…
…011000110010010110100000
3122001220000101122222012000200
4131212031020120302112200
5114030141134301001440
61140502414340545200
736263245630440246
oct3546151030622640
9561800348865020
10130168788297120
1138526300556061
12127236bb9b2200
135782b3047b101
1424202bad3a796
15100aec7845c30
hex7663486325a0

130168788297120 has 72 divisors (see below), whose sum is σ = 444200990068836. Its totient is φ = 34711676878848.

The previous prime is 130168788297089. The next prime is 130168788297133. The reversal of 130168788297120 is 21792887861031.

130168788297120 is a `hidden beast` number, since 1 + 301 + 68 + 78 + 82 + 9 + 7 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123587777936016 + 6581010361104 = 11117004^2 + 2565348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45197494497 + ... + 45197497376.

Almost surely, 2130168788297120 is an apocalyptic number.

130168788297120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130168788297120 is an abundant number, since it is smaller than the sum of its proper divisors (314032201771716).

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

130168788297120 is a wasteful number, since it uses less digits than its factorization.

130168788297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90394991894 (or 90394991883 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 130168788297120 in words is "one hundred thirty trillion, one hundred sixty-eight billion, seven hundred eighty-eight million, two hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 90394991873 180789983746 271184975619 361579967492 451974959365 542369951238 723159934984 813554926857 903949918730 1084739902476 1355924878095 1446319869968 1627109853714 1807899837460 2169479804952 2711849756190 2892639739936 3254219707428 3615799674920 4067774634285 4338959609904 5423699512380 6508439414856 7231599349840 8135549268570 8677919219808 10847399024760 13016878829712 14463198699680 16271098537140 21694798049520 26033757659424 32542197074280 43389596099040 65084394148560 130168788297120