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13825299400 = 23521131202717
BaseRepresentation
bin11001110000000110…
…10101001111001000
31022200111201222101221
430320003111033020
5211303234040100
610203512051424
7666414051223
oct147003251710
938614658357
1013825299400
115955026080
12281a093b74
1313c4372143
149521dc5ba
1555db2501a
hex3380d53c8

13825299400 has 96 divisors (see below), whose sum is σ = 36197326080. Its totient is φ = 4865184000.

The previous prime is 13825299377. The next prime is 13825299407. The reversal of 13825299400 is 499252831.

It is a super-2 number, since 2×138252994002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825299407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33159 + ... + 169558.

It is an arithmetic number, because the mean of its divisors is an integer number (377055480).

Almost surely, 213825299400 is an apocalyptic number.

13825299400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825299400 is an abundant number, since it is smaller than the sum of its proper divisors (22372026680).

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

13825299400 is a wasteful number, since it uses less digits than its factorization.

13825299400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202775 (or 202766 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 13825299400 in words is "thirteen billion, eight hundred twenty-five million, two hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 202717 405434 810868 1013585 1621736 2027170 2229887 4054340 4459774 5067925 6284227 8108680 8919548 10135850 11149435 12568454 17839096 20271700 22298870 25136908 31421135 40543400 44597740 50273816 55747175 62842270 69126497 89195480 111494350 125684540 138252994 157105675 222988700 251369080 276505988 314211350 345632485 445977400 553011976 628422700 691264970 1256845400 1382529940 1728162425 2765059880 3456324850 6912649700 13825299400