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136441688412848 = 24713179337590377
BaseRepresentation
bin11111000001011111001110…
…010111101101001010110000
3122220002200211212020000011112
4133001133032113231022300
5120340430034213202343
61202104240224332452
740511405142610130
oct3701371627551260
9586080755200145
10136441688412848
113a524660099635
1213377391474128
135b1951c056010
142599b54a68ac0
1510b9264c77218
hex7c17ce5ed2b0

136441688412848 has 160 divisors (see below), whose sum is σ = 344537308450944. Its totient is φ = 50796291096576.

The previous prime is 136441688412833. The next prime is 136441688412851. The reversal of 136441688412848 is 848214886144631.

It is a super-2 number, since 2×1364416884128482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230814236 + ... + 231404612.

Almost surely, 2136441688412848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136441688412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172268654225472).

136441688412848 is an abundant number, since it is smaller than the sum of its proper divisors (208095620038096).

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

136441688412848 is a wasteful number, since it uses less digits than its factorization.

136441688412848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599759 (or 599753 counting only the distinct ones).

The product of its digits is 226492416, while the sum is 68.

The spelling of 136441688412848 in words is "one hundred thirty-six trillion, four hundred forty-one billion, six hundred eighty-eight million, four hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3536 6188 9337 12376 18674 24752 37348 65359 74696 121381 130718 149392 158729 242762 261436 317458 485524 522872 590377 634916 849667 971048 1045744 1111103 1180754 1269832 1699334 1942096 2063477 2222206 2361508 2539664 3398668 4126954 4132639 4444412 4723016 6797336 7674901 8253908 8265278 8888824 9446032 10036409 13594672 14444339 15349802 16507816 16530556 17777648 20072818 28888678 30699604 33015632 33061112 40145636 53724307 57777356 61399208 66122224 70254863 80291272 107448614 115554712 122798416 130473317 140509726 160582544 214897228 231109424 260946634 281019452 429794456 521893268 562038904 859588912 913313219 1043786536 1124077808 1826626438 2087573072 3653252876 5512350049 7306505752 11024700098 14613011504 22049400196 38586450343 44098800392 71660550637 77172900686 88197600784 93709950833 143321101274 154345801372 187419901666 286642202548 308691602744 374839803332 501623854459 573284405096 617383205488 655969655831 749679606664 1003247708918 1146568810192 1218229360829 1311939311662 1499359213328 2006495417836 2436458721658 2623878623324 4012990835672 4872917443316 5247757246648 8025981671344 8527605525803 9745834886632 10495514493296 17055211051606 19491669773264 34110422103212 68220844206424 136441688412848