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12946903920 = 24355665993
BaseRepresentation
bin11000000111011001…
…00001001101110000
31020102021212212100000
430003230201031300
5203003401411140
65540413030000
7635556603366
oct140354411560
936367785300
1012946903920
11554420a5a5
122613a85300
1312b43a12c2
148ab6a7636
1550b964a30
hex303b21370

12946903920 has 120 divisors (see below), whose sum is σ = 45090457776. Its totient is φ = 3452502528.

The previous prime is 12946903919. The next prime is 12946903969. The reversal of 12946903920 is 2930964921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×129469039202 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313557 + ... + 352436.

Almost surely, 212946903920 is an apocalyptic number.

12946903920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12946903920 is an abundant number, since it is smaller than the sum of its proper divisors (32143553856).

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

12946903920 is an equidigital number, since it uses as much as digits as its factorization.

12946903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666021 (or 666003 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12946903920 in words is "twelve billion, nine hundred forty-six million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 665993 1331986 1997979 2663972 3329965 3995958 5327944 5993937 6659930 7991916 9989895 10655888 11987874 13319860 15983832 17981811 19979790 23975748 26639720 29969685 31967664 35963622 39959580 47951496 53279440 53945433 59939370 71927244 79919160 89909055 95902992 107890866 119878740 143854488 159838320 161836299 179818110 215781732 239757480 269727165 287708976 323672598 359636220 431563464 479514960 539454330 647345196 719272440 809181495 863126928 1078908660 1294690392 1438544880 1618362990 2157817320 2589380784 3236725980 4315634640 6473451960 12946903920