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12973114516080 = 2435431125416807
BaseRepresentation
bin1011110011001000100111…
…1000011110001001110000
31200221012212122201102202210
42330302021320132021300
53200022414304003310
643331433323212120
72506163604636345
oct274621170361160
950835778642683
1012973114516080
114151959a327a4
121556339977040
13731489931654
1432bc8b4b27cc
151776d91c2820
hexbcc89e1e270

12973114516080 has 80 divisors (see below), whose sum is σ = 40309965425664. Its totient is φ = 3451470501120.

The previous prime is 12973114516027. The next prime is 12973114516081. The reversal of 12973114516080 is 8061541137921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×129731145160802 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973114516081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62604964 + ... + 62811843.

It is a 1-persistent number, because it is pandigital, but 2⋅12973114516080 = 25946229032160 is not.

Almost surely, 212973114516080 is an apocalyptic number.

12973114516080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12973114516080 is an abundant number, since it is smaller than the sum of its proper divisors (27336850909584).

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

12973114516080 is a wasteful number, since it uses less digits than its factorization.

12973114516080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125417254 (or 125417248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 12973114516080 in words is "twelve trillion, nine hundred seventy-three billion, one hundred fourteen million, five hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 51720 103440 125416807 250833614 376250421 501667228 627084035 752500842 1003334456 1254168070 1505001684 1881252105 2006668912 2508336140 3010003368 3762504210 5016672280 6020006736 7525008420 10033344560 15050016840 30100033680 54054643817 108109287634 162163931451 216218575268 270273219085 324327862902 432437150536 540546438170 648655725804 810819657255 864874301072 1081092876340 1297311451608 1621639314510 2162185752680 2594622903216 3243278629020 4324371505360 6486557258040 12973114516080