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13353799320 = 2334531132953
BaseRepresentation
bin11000110111111001…
…01100111010011000
31021110122112021220000
430123330230322120
5204322033034240
610045030133000
7651630264351
oct143374547230
937418467800
1013353799320
115732965094
1227081b1160
13134a788304
14909744d28
1553253b430
hex31bf2ce98

13353799320 has 160 divisors (see below), whose sum is σ = 46331809920. Its totient is φ = 3446115840.

The previous prime is 13353799313. The next prime is 13353799363. The reversal of 13353799320 is 2399735331.

13353799320 is a `hidden beast` number, since 1 + 3 + 3 + 537 + 9 + 93 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33964 + ... + 166916.

It is an arithmetic number, because the mean of its divisors is an integer number (289573812).

Almost surely, 213353799320 is an apocalyptic number.

13353799320 is a gapful number since it is divisible by the number (10) 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 13353799320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23165904960).

13353799320 is an abundant number, since it is smaller than the sum of its proper divisors (32978010600).

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

13353799320 is a wasteful number, since it uses less digits than its factorization.

13353799320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133007 (or 132994 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 13353799320 in words is "thirteen billion, three hundred fifty-three million, seven hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1240 1395 1620 1674 1860 2232 2511 2790 3240 3348 3720 4185 5022 5580 6696 8370 10044 11160 12555 16740 20088 25110 33480 50220 100440 132953 265906 398859 531812 664765 797718 1063624 1196577 1329530 1595436 1994295 2393154 2659060 3190872 3589731 3988590 4121543 4786308 5318120 5982885 7179462 7977180 8243086 9572616 10769193 11965770 12364629 14358924 15954360 16486172 17948655 20607715 21538386 23931540 24729258 28717848 32972344 35897310 37093887 41215430 43076772 47863080 49458516 53845965 61823145 71794620 74187774 82430860 86153544 98917032 107691930 111281661 123646290 143589240 148375548 164861720 185469435 215383860 222563322 247292580 296751096 333844983 370938870 430767720 445126644 494585160 556408305 667689966 741877740 890253288 1112816610 1335379932 1483755480 1669224915 2225633220 2670759864 3338449830 4451266440 6676899660 13353799320