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136699016040 = 23335235503181
BaseRepresentation
bin111111101001111100…
…1010111001101101000
3111001211210022112001000
41333103321113031220
54214424422003130
6142444302155000
712606346315236
oct1772371271550
9431753275030
10136699016040
1152a79038024
12225b0282a60
13cb76a26b52
14688b077956
153851027260
hex1fd3e57368

136699016040 has 128 divisors (see below), whose sum is σ = 475474924800. Its totient is φ = 34868148480.

The previous prime is 136699016033. The next prime is 136699016059. The reversal of 136699016040 is 40610996631.

136699016040 is a `hidden beast` number, since 1 + 36 + 6 + 9 + 9 + 0 + 1 + 604 + 0 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2726751 + ... + 2776430.

It is an arithmetic number, because the mean of its divisors is an integer number (3714647850).

Almost surely, 2136699016040 is an apocalyptic number.

136699016040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136699016040 is an abundant number, since it is smaller than the sum of its proper divisors (338775908760).

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

136699016040 is a wasteful number, since it uses less digits than its factorization.

136699016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503224 (or 5503214 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 136699016040 in words is "one hundred thirty-six billion, six hundred ninety-nine million, sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 5503181 11006362 16509543 22012724 27515905 33019086 44025448 49528629 55031810 66038172 82547715 99057258 110063620 126573163 132076344 148585887 165095430 198114516 220127240 247643145 253146326 297171774 330190860 379719489 396229032 495286290 506292652 594343548 632865815 660381720 742929435 759438978 990572580 1012585304 1139158467 1188687096 1265731630 1485858870 1518877956 1898597445 1981145160 2278316934 2531463260 2971717740 3037755912 3417475401 3797194890 4556633868 5062926520 5695792335 5943435480 6834950802 7594389780 9113267736 11391584670 13669901604 15188779560 17087377005 22783169340 27339803208 34174754010 45566338680 68349508020 136699016040