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268313313136 = 24117017432927
BaseRepresentation
bin1111100111100010111…
…0000011111101110000
3221122120012211112222011
43321320232003331300
513344001202010021
6323132245252304
725246024350151
oct3717056037560
9848505745864
10268313313136
11a3877963490
1244001704094
131c3c019bb5b
14cdb4ab9928
156ea5960de1
hex3e78b83f70

268313313136 has 80 divisors (see below), whose sum is σ = 568884446208. Its totient is φ = 121581152000.

The previous prime is 268313313127. The next prime is 268313313143. The reversal of 268313313136 is 631313313862.

It is a happy number.

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, 91666905 + ... + 91669831.

Almost surely, 2268313313136 is an apocalyptic number.

It is an amenable number.

268313313136 is an abundant number, since it is smaller than the sum of its proper divisors (300571133072).

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

268313313136 is a wasteful number, since it uses less digits than its factorization.

268313313136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4384 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

Adding to 268313313136 its reverse (631313313862), we get a palindrome (899626626998).

The spelling of 268313313136 in words is "two hundred sixty-eight billion, three hundred thirteen million, three hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 701 743 1402 1486 2804 2927 2972 5608 5854 5944 7711 8173 11216 11708 11888 15422 16346 23416 30844 32197 32692 46832 61688 64394 65384 123376 128788 130768 257576 515152 520843 1041686 2051827 2083372 2174761 4103654 4166744 4349522 5729273 8207308 8333488 8699044 11458546 16414616 17398088 22570097 22917092 23922371 32829232 34796176 45140194 45834184 47844742 90280388 91668368 95689484 180560776 191378968 361121552 382757936 1524507461 3049014922 6098029844 12196059688 16769582071 24392119376 33539164142 67078328284 134156656568 268313313136