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1313425633520 = 2457111316401419
BaseRepresentation
bin10011000111001110010…
…001001011000011110000
311122120011220001022010002
4103013032101023003300
5133004343430233040
62443213541325132
7163614624452150
oct23071621130360
94576156038102
101313425633520
11467025590390
121926737067a8
1396b177140a0
14477da66c760
1524272900a15
hex131ce44b0f0

1313425633520 has 160 divisors (see below), whose sum is σ = 4100092577280. Its totient is φ = 377888670720.

The previous prime is 1313425633517. The next prime is 1313425633529. The reversal of 1313425633520 is 253365243131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313425633529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8120630 + ... + 8280789.

It is an arithmetic number, because the mean of its divisors is an integer number (25625578608).

Almost surely, 21313425633520 is an apocalyptic number.

1313425633520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313425633520 is an abundant number, since it is smaller than the sum of its proper divisors (2786666943760).

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

1313425633520 is a wasteful number, since it uses less digits than its factorization.

1313425633520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16401463 (or 16401457 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 1313425633520 in words is "one trillion, three hundred thirteen billion, four hundred twenty-five million, six hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 16401419 32802838 65605676 82007095 114809933 131211352 164014190 180415609 213218447 229619866 262422704 328028380 360831218 426436894 459239732 574049665 656056760 721662436 852873788 902078045 918479464 1066092235 1148099330 1262909263 1312113520 1443324872 1492529129 1705747576 1804156090 1836958928 2132184470 2296198660 2345402917 2525818526 2886649744 2985058258 3411495152 3608312180 4264368940 4592397320 4690805834 5051637052 5970116516 6314546315 7216624360 7462645645 8528737880 9184794640 9381611668 10103274104 11727014585 11940233032 12629092630 14433248720 14925291290 16417820419 17057475760 18763223336 20206548208 23454029170 23880466064 25258185260 29850582580 32835640838 37526446672 46908058340 50516370520 59701165160 65671281676 82089102095 93816116680 101032741040 119402330320 131342563352 164178204190 187632233360 262685126704 328356408380 656712816760 1313425633520