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136364570540 = 2251119149218947
BaseRepresentation
bin111111011111111110…
…1100011011110101100
3111000222110222221001122
41332333331203132230
54213233312224130
6142351154000112
712565145503412
oct1767775433654
9430873887048
10136364570540
1152917277190
1222518276038
13cb226587c3
1468588992b2
1538319b22e5
hex1fbff637ac

136364570540 has 96 divisors (see below), whose sum is σ = 331049376000. Its totient is φ = 46661771520.

The previous prime is 136364570471. The next prime is 136364570549. The reversal of 136364570540 is 45075463631.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 136364570491 and 136364570500.

It is not an unprimeable number, because it can be changed into a prime (136364570549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513347 + ... + 732293.

It is an arithmetic number, because the mean of its divisors is an integer number (3448431000).

Almost surely, 2136364570540 is an apocalyptic number.

136364570540 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 136364570540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165524688000).

136364570540 is an abundant number, since it is smaller than the sum of its proper divisors (194684805460).

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

136364570540 is a wasteful number, since it uses less digits than its factorization.

136364570540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219135 (or 219133 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 136364570540 in words is "one hundred thirty-six billion, three hundred sixty-four million, five hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 149 190 209 220 298 380 418 596 745 836 1045 1490 1639 2090 2831 2980 3278 4180 5662 6556 8195 11324 14155 16390 28310 31141 32780 56620 62282 124564 155705 218947 311410 437894 622820 875788 1094735 2189470 2408417 4159993 4378940 4816834 8319986 9633668 12042085 16639972 20799965 24084170 32623103 41599930 45759923 48168340 65246206 83199860 91519846 130492412 163115515 183039692 228799615 326231030 358854133 457599230 619838957 652462060 717708266 915198460 1239677914 1435416532 1794270665 2479355828 3099194785 3588541330 6198389570 6818228527 7177082660 12396779140 13636457054 27272914108 34091142635 68182285270 136364570540