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1313218896 = 2431119791657
BaseRepresentation
bin100111001000110…
…0010000101010000
310101112001102122220
41032101202011100
510142141001041
6334150501040
744354114343
oct11621420520
93345042586
101313218896
11614306880
12307964780
1317c0b5a02
14c65a245a
157a451d66
hex4e462150

1313218896 has 160 divisors (see below), whose sum is σ = 3947366400. Its totient is φ = 372003840.

The previous prime is 1313218853. The next prime is 1313218903. The reversal of 1313218896 is 6988123131.

It is a super-2 number, since 2×13132188962 = 3449087737622917632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791700 + ... + 793356.

It is an arithmetic number, because the mean of its divisors is an integer number (24671040).

Almost surely, 21313218896 is an apocalyptic number.

1313218896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313218896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973683200).

1313218896 is an abundant number, since it is smaller than the sum of its proper divisors (2634147504).

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

1313218896 is a wasteful number, since it uses less digits than its factorization.

1313218896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1771 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 1313218896 is about 36238.3622146476. The cubic root of 1313218896 is about 1095.0796480919.

The spelling of 1313218896 in words is "one billion, three hundred thirteen million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 79 88 114 132 152 158 176 209 228 237 264 304 316 418 456 474 528 627 632 836 869 912 948 1254 1264 1501 1657 1672 1738 1896 2508 2607 3002 3314 3344 3476 3792 4503 4971 5016 5214 6004 6628 6952 9006 9942 10032 10428 12008 13256 13904 16511 18012 18227 19884 20856 24016 26512 31483 33022 36024 36454 39768 41712 49533 54681 62966 66044 72048 72908 79536 94449 99066 109362 125932 130903 132088 145816 188898 198132 218724 251864 261806 264176 291632 346313 377796 392709 396264 437448 503728 523612 692626 755592 785418 792528 874896 1038939 1047224 1385252 1439933 1511184 1570836 2077878 2094448 2487157 2770504 2879866 3141672 4155756 4319799 4974314 5541008 5759732 6283344 7461471 8311512 8639598 9948628 11519464 14922942 16623024 17279196 19897256 23038928 27358727 29845884 34558392 39794512 54717454 59691768 69116784 82076181 109434908 119383536 164152362 218869816 328304724 437739632 656609448 1313218896