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10045799979120 = 2432544021316951
BaseRepresentation
bin1001001000101111100001…
…0101101101100001110000
31022120100222001222020221100
42102023320111231201300
52304042244243312440
633210550553324400
72054533200631233
oct222137025554160
938510861866840
1010045799979120
113223444216234
121162b3a106700
1357b412a12b99
1426a30db1d41a
151264aac02230
hex922f856d870

10045799979120 has 120 divisors (see below), whose sum is σ = 33738017762592. Its totient is φ = 2678810688000.

The previous prime is 10045799979097. The next prime is 10045799979169. The reversal of 10045799979120 is 2197999754001.

It is a happy number.

10045799979120 is a `hidden beast` number, since 1 + 0 + 0 + 457 + 9 + 9 + 97 + 91 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 31695112-1.

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

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, 31536645 + ... + 31853595.

Almost surely, 210045799979120 is an apocalyptic number.

10045799979120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045799979120 is an abundant number, since it is smaller than the sum of its proper divisors (23692217783472).

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

10045799979120 is a wasteful number, since it uses less digits than its factorization.

10045799979120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360991 (or 360982 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 10045799979120 in words is "ten trillion, forty-five billion, seven hundred ninety-nine million, nine hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 44021 88042 132063 176084 220105 264126 316951 352168 396189 440210 528252 633902 660315 704336 792378 880420 950853 1056504 1267804 1320630 1584755 1584756 1760840 1901706 1980945 2113008 2535608 2641260 2852559 3169510 3169512 3521680 3803412 3961890 4754265 5071216 5282520 5705118 6339020 6339024 7606824 7923780 9508530 10565040 11410236 12678040 14262795 15213648 15847560 19017060 22820472 25356080 28525590 31695120 38034120 45640944 57051180 76068240 114102360 228204720 13952499971 27904999942 41857499913 55809999884 69762499855 83714999826 111619999768 125572499739 139524999710 167429999652 209287499565 223239999536 251144999478 279049999420 334859999304 418574999130 502289998956 558099998840 627862498695 669719998608 837149998260 1004579997912 1116199997680 1255724997390 1674299996520 2009159995824 2511449994780 3348599993040 5022899989560 10045799979120