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136424721015 = 375111134179
BaseRepresentation
bin111111100001110001…
…1000000101001110111
3111001010200011220000000
41333003203000221313
54213344212033030
6142401143122343
712566505665262
oct1770343005167
9431120156000
10136424721015
1152948220120
12225344433b3
13cb31c590bb
146862875cd9
153836de4860
hex1fc38c0a77

136424721015 has 64 divisors (see below), whose sum is σ = 267847948800. Its totient is φ = 66145260960.

The previous prime is 136424720969. The next prime is 136424721019. The reversal of 136424721015 is 510127424631.

136424721015 is a `hidden beast` number, since 1 + 3 + 6 + 424 + 7 + 210 + 15 = 666.

It is not a de Polignac number, because 136424721015 - 26 = 136424720951 is a prime.

It is a super-2 number, since 2×1364247210152 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136424721019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446805 + ... + 687374.

It is an arithmetic number, because the mean of its divisors is an integer number (4185124200).

Almost surely, 2136424721015 is an apocalyptic number.

136424721015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136424721015 is a deficient number, since it is larger than the sum of its proper divisors (131423227785).

136424721015 is an equidigital number, since it uses as much as digits as its factorization.

136424721015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134216 (or 1134198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 136424721015 in words is "one hundred thirty-six billion, four hundred twenty-four million, seven hundred twenty-one thousand, fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2187 2673 3645 4455 8019 10935 13365 24057 40095 120285 1134179 3402537 5670895 10207611 12475969 17012685 30622833 37427907 51038055 62379845 91868499 112283721 153114165 187139535 275605497 336851163 459342495 561418605 826816491 1010553489 1378027485 1684255815 2480449473 3031660467 4134082455 5052767445 9094981401 12402247365 15158302335 27284944203 45474907005 136424721015