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136328570432418 = 23713727683350263
BaseRepresentation
bin11110111111110101111000…
…000000110110101110100010
3122212200212212110210012201210
4132333311320000312232202
5120332101403012314133
61201540251453410550
740500262030623540
oct3677657000665642
9585625773705653
10136328570432418
113a490692a266a1
1213359482499a56
135b0b9628a6ca0
1425944a372ad90
1510b6344083763
hex7bfd78036ba2

136328570432418 has 128 divisors (see below), whose sum is σ = 336095477932032. Its totient is φ = 35899362487296.

The previous prime is 136328570432413. The next prime is 136328570432419. The reversal of 136328570432418 is 814234075823631.

It is a super-2 number, since 2×1363285704324182 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136328570432413) 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, 2712279555 + ... + 2712329817.

It is an arithmetic number, because the mean of its divisors is an integer number (2625745921344).

Almost surely, 2136328570432418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136328570432418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168047738966016).

136328570432418 is an abundant number, since it is smaller than the sum of its proper divisors (199766907499614).

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

136328570432418 is a wasteful number, since it uses less digits than its factorization.

136328570432418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57848.

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 136328570432418 in words is "one hundred thirty-six trillion, three hundred twenty-eight billion, five hundred seventy million, four hundred thirty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 727 1454 2181 4362 5089 6833 9451 10178 13666 15267 18902 20499 28353 30534 40998 47831 50263 56706 66157 88829 95662 100526 132314 143493 150789 177658 198471 266487 286986 301578 351841 396942 532974 621803 653419 703682 1055523 1243606 1306838 1865409 1960257 2111046 3730818 3920514 4573933 4967591 9147866 9935182 13721799 14902773 27443598 29805546 34773137 36541201 64578683 69546274 73082402 104319411 109623603 129157366 193736049 208638822 219247206 255788407 343447079 387472098 452050781 475035613 511576814 686894158 767365221 904101562 950071226 1030341237 1356152343 1425106839 1534730442 2060682474 2404129553 2712304686 2850213678 3325249291 4464812027 4808259106 6650498582 7212388659 8929624054 9975747873 13394436081 14424777318 19951495746 26788872162 31253684189 62507368378 93761052567 187522105134 249686026433 499372052866 749058079299 1498116158598 1747802185031 3245918343629 3495604370062 5243406555093 6491836687258 9737755030887 10486813110186 19475510061774 22721428405403 45442856810806 68164285216209 136328570432418