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13296599040 = 217356763
BaseRepresentation
bin11000110001000101…
…00000000000000000
31021022122220012212010
430120202200000000
5204212412132130
610035224132520
7650334140604
oct143042400000
937278805763
1013296599040
11570364672a
1226b1007140
13133b97b7aa
14901cd5504
1552c4dd0b0
hex3188a0000

13296599040 has 144 divisors (see below), whose sum is σ = 42555246048. Its totient is φ = 3545235456.

The previous prime is 13296599039. The next prime is 13296599047. The reversal of 13296599040 is 4099569231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13296599047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962699 + ... + 1969461.

It is an arithmetic number, because the mean of its divisors is an integer number (295522542).

Almost surely, 213296599040 is an apocalyptic number.

13296599040 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 13296599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21277623024).

13296599040 is an abundant number, since it is smaller than the sum of its proper divisors (29258647008).

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

13296599040 is an frugal number, since it uses more digits than its factorization.

13296599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 13296599040 in words is "thirteen billion, two hundred ninety-six million, five hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 6763 7680 8192 10240 12288 13526 15360 16384 20289 20480 24576 27052 30720 32768 33815 40578 40960 49152 54104 61440 65536 67630 81156 81920 98304 101445 108208 122880 131072 135260 162312 163840 196608 202890 216416 245760 270520 324624 327680 393216 405780 432832 491520 541040 649248 655360 811560 865664 983040 1082080 1298496 1623120 1731328 1966080 2164160 2596992 3246240 3462656 4328320 5193984 6492480 6925312 8656640 10387968 12984960 13850624 17313280 20775936 25969920 27701248 34626560 41551872 51939840 55402496 69253120 83103744 103879680 110804992 138506240 166207488 207759360 221609984 277012480 332414976 415518720 443219968 554024960 664829952 831037440 886439936 1108049920 1329659904 1662074880 2216099840 2659319808 3324149760 4432199680 6648299520 13296599040