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10074999120 = 2435236129921
BaseRepresentation
bin10010110001000010…
…00100100101010000
3222000010212222120120
421120201010211100
5131113144432440
64343422110240
7504445036164
oct113041044520
928003788516
1010074999120
11430008aa5a
121b5211b380
13c473b9554
146b80c6ca4
153de774dd0
hex258844950

10074999120 has 160 divisors (see below), whose sum is σ = 33125808384. Its totient is φ = 2527641600.

The previous prime is 10074999061. The next prime is 10074999131. The reversal of 10074999120 is 2199947001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321760 + ... + 351680.

Almost surely, 210074999120 is an apocalyptic number.

10074999120 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 10074999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562904192).

10074999120 is an abundant number, since it is smaller than the sum of its proper divisors (23050809264).

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

10074999120 is a wasteful number, since it uses less digits than its factorization.

10074999120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30021 (or 30015 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 10074999120 in words is "ten billion, seventy-four million, nine hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 61 69 80 92 115 120 122 138 183 184 230 240 244 276 305 345 366 368 460 488 552 610 690 732 915 920 976 1104 1220 1380 1403 1464 1830 1840 2440 2760 2806 2928 3660 4209 4880 5520 5612 7015 7320 8418 11224 14030 14640 16836 21045 22448 28060 29921 33672 42090 56120 59842 67344 84180 89763 112240 119684 149605 168360 179526 239368 299210 336720 359052 448815 478736 598420 688183 718104 897630 1196840 1376366 1436208 1795260 1825181 2064549 2393680 2752732 3440915 3590520 3650362 4129098 5475543 5505464 6881830 7181040 7300724 8258196 9125905 10322745 10951086 11010928 13763660 14601448 16516392 18251810 20645490 21902172 27377715 27527320 29202896 33032784 36503620 41290980 41979163 43804344 54755430 55054640 73007240 82581960 83958326 87608688 109510860 125937489 146014480 165163920 167916652 209895815 219021720 251874978 335833304 419791630 438043440 503749956 629687445 671666608 839583260 1007499912 1259374890 1679166520 2014999824 2518749780 3358333040 5037499560 10074999120