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13168699468480 = 265293191444701
BaseRepresentation
bin1011111110100001001110…
…1001110110101011000000
31201121220201022022110112201
42333220103221312223000
53211223444030442410
644001341135402544
72526256435413433
oct277502351665300
951556638273481
1013168699468480
1142178a55a7326
121588222983454
13746a5934c60a
1433752307d81a
1517c834c3983a
hexbfa13a76ac0

13168699468480 has 112 divisors (see below), whose sum is σ = 32449513602240. Its totient is φ = 5084237312000.

The previous prime is 13168699468459. The next prime is 13168699468489. The reversal of 13168699468480 is 8486499686131.

It is a super-2 number, since 2×131686994684802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13168699468489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29390130 + ... + 29834830.

It is an arithmetic number, because the mean of its divisors is an integer number (289727800020).

Almost surely, 213168699468480 is an apocalyptic number.

13168699468480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13168699468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224756801120).

13168699468480 is an abundant number, since it is smaller than the sum of its proper divisors (19280814133760).

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

13168699468480 is a wasteful number, since it uses less digits than its factorization.

13168699468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447938 (or 447928 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 73.

The spelling of 13168699468480 in words is "thirteen trillion, one hundred sixty-eight billion, six hundred ninety-nine million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 3191 4640 6382 9280 12764 15955 25528 31910 51056 63820 92539 102112 127640 185078 204224 255280 370156 444701 462695 510560 740312 889402 925390 1021120 1480624 1778804 1850780 2223505 2961248 3557608 3701560 4447010 5922496 7115216 7403120 8894020 12896329 14230432 14806240 17788040 25792658 28460864 29612480 35576080 51585316 64481645 71152160 103170632 128963290 142304320 206341264 257926580 412682528 515853160 825365056 1031706320 1419040891 2063412640 2838081782 4126825280 5676163564 7095204455 11352327128 14190408910 22704654256 28380817820 41152185839 45409308512 56761635640 82304371678 90818617024 113523271280 164608743356 205760929195 227046542560 329217486712 411521858390 454093085120 658434973424 823043716780 1316869946848 1646087433560 2633739893696 3292174867120 6584349734240 13168699468480