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136364570480 = 2454751677019
BaseRepresentation
bin111111011111111110…
…1100011011101110000
3111000222110222220222102
41332333331203131300
54213233312223410
6142351153555532
712565145503265
oct1767775433560
9430873886872
10136364570480
1152917277136
1222518275ba8
13cb22658778
14685889926c
1538319b22a5
hex1fbff63770

136364570480 has 80 divisors (see below), whose sum is σ = 323902126080. Its totient is φ = 53367342336.

The previous prime is 136364570471. The next prime is 136364570549. The reversal of 136364570480 is 84075463631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19424411 + ... + 19431429.

It is an arithmetic number, because the mean of its divisors is an integer number (4048776576).

Almost surely, 2136364570480 is an apocalyptic number.

136364570480 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 136364570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161951063040).

136364570480 is an abundant number, since it is smaller than the sum of its proper divisors (187537555600).

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

136364570480 is a wasteful number, since it uses less digits than its factorization.

136364570480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 136364570480 in words is "one hundred thirty-six billion, three hundred sixty-four million, five hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5167 7019 10334 14038 20668 25835 28076 35095 41336 51670 56152 70190 82672 103340 112304 140380 206680 242849 280760 329893 413360 485698 561520 659786 971396 1214245 1319572 1649465 1942792 2428490 2639144 3298930 3885584 4856980 5278288 6597860 9713960 13195720 19427920 26391440 36267173 72534346 145068692 181335865 290137384 362671730 580274768 725343460 1450686920 1704557131 2901373840 3409114262 6818228524 8522785655 13636457048 17045571310 27272914096 34091142620 68182285240 136364570480