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13155452654040 = 23325172149583767
BaseRepresentation
bin1011111101101111111000…
…0101010001000111011000
31201120122112010002120022200
42333123332011101013120
53211014331334412130
643551310450250200
72525310244352244
oct277337605210730
951518463076280
1013155452654040
1142122180745a4
121585746586960
13745727ab2188
14336a27a27424
1517c30bcd2760
hexbf6fe1511d8

13155452654040 has 96 divisors (see below), whose sum is σ = 45270234154080. Its totient is φ = 3301760664576.

The previous prime is 13155452653999. The next prime is 13155452654041. The reversal of 13155452654040 is 4045625455131.

13155452654040 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 45 + 26 + 540 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155452654041) 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, 1074785764 + ... + 1074798003.

It is an arithmetic number, because the mean of its divisors is an integer number (471564939105).

Almost surely, 213155452654040 is an apocalyptic number.

13155452654040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155452654040 is an abundant number, since it is smaller than the sum of its proper divisors (32114781500040).

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

13155452654040 is a wasteful number, since it uses less digits than its factorization.

13155452654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149583801 (or 2149583794 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 13155452654040 in words is "thirteen trillion, one hundred fifty-five billion, four hundred fifty-two million, six hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 2149583767 4299167534 6448751301 8598335068 10747918835 12897502602 17196670136 19346253903 21495837670 25795005204 32243756505 36542924039 38692507806 42991675340 51590010408 64487513010 73085848078 77385015612 85983350680 96731269515 109628772117 128975026020 146171696156 154770031224 182714620195 193462539030 219257544234 257950052040 292343392312 328886316351 365429240390 386925078060 438515088468 548143860585 657772632702 730858480780 773850156120 877030176936 1096287721170 1315545265404 1461716961560 1644431581755 2192575442340 2631090530808 3288863163510 4385150884680 6577726327020 13155452654040