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13373056640 = 275474091087
BaseRepresentation
bin11000111010001100…
…01010011010000000
31021111222202122222002
430131012022122000
5204342000303030
610050555003132
7652253051216
oct143506123200
937458678862
1013373056640
115742818429
1227127394a8
13135176b688
1490c118cb6
15534092245
hex31d18a680

13373056640 has 128 divisors (see below), whose sum is σ = 32760115200. Its totient is φ = 5217804288.

The previous prime is 13373056621. The next prime is 13373056703. The reversal of 13373056640 is 4665037331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13373056594 and 13373056603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12302177 + ... + 12303263.

It is an arithmetic number, because the mean of its divisors is an integer number (255938400).

Almost surely, 213373056640 is an apocalyptic number.

13373056640 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 13373056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380057600).

13373056640 is an abundant number, since it is smaller than the sum of its proper divisors (19387058560).

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

13373056640 is a wasteful number, since it uses less digits than its factorization.

13373056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 13373056640 in words is "thirteen billion, three hundred seventy-three million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 409 470 640 752 818 940 1087 1504 1636 1880 2045 2174 3008 3272 3760 4090 4348 5435 6016 6544 7520 8180 8696 10870 13088 15040 16360 17392 19223 21740 26176 30080 32720 34784 38446 43480 51089 52352 65440 69568 76892 86960 96115 102178 130880 139136 153784 173920 192230 204356 255445 261760 307568 347840 384460 408712 444583 510890 615136 695680 768920 817424 889166 1021780 1230272 1537840 1634848 1778332 2043560 2222915 2460544 3075680 3269696 3556664 4087120 4445830 6151360 6539392 7113328 8174240 8891660 12302720 14226656 16348480 17783320 20895401 28453312 32696960 35566640 41790802 56906624 71133280 83581604 104477005 142266560 167163208 208954010 284533120 334326416 417908020 668652832 835816040 1337305664 1671632080 2674611328 3343264160 6686528320 13373056640