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1268118368 = 2511191271493
BaseRepresentation
bin100101110010101…
…1111001101100000
310021101012002100222
41023211133031200
510044114241433
6325500102212
743265554046
oct11345371540
93241162328
101268118368
115a0902110
122b4834968
131729546ca
14c05c2396
15764e3b98
hex4b95f360

1268118368 has 96 divisors (see below), whose sum is σ = 2891427840. Its totient is φ = 541416960.

The previous prime is 1268118367. The next prime is 1268118389. The reversal of 1268118368 is 8638118621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268118367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848630 + ... + 850122.

It is an arithmetic number, because the mean of its divisors is an integer number (30119040).

Almost surely, 21268118368 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 1268118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445713920).

1268118368 is an abundant number, since it is smaller than the sum of its proper divisors (1623309472).

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

1268118368 is a wasteful number, since it uses less digits than its factorization.

1268118368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 1268118368 is about 35610.6496430492. The cubic root of 1268118368 is about 1082.3970443999.

The spelling of 1268118368 in words is "one billion, two hundred sixty-eight million, one hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 127 152 176 209 254 304 352 418 508 608 836 1016 1397 1493 1672 2032 2413 2794 2986 3344 4064 4826 5588 5972 6688 9652 11176 11944 16423 19304 22352 23888 26543 28367 32846 38608 44704 47776 53086 56734 65692 77216 106172 113468 131384 189611 212344 226936 262768 312037 379222 424688 453872 525536 624074 758444 849376 907744 1248148 1516888 2085721 2496296 3033776 3602609 4171442 4992592 6067552 7205218 8342884 9985184 14410436 16685768 28820872 33371536 39628699 57641744 66743072 79257398 115283488 158514796 317029592 634059184 1268118368