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10093776420 = 22357131848677
BaseRepresentation
bin10010110011010001…
…01100111000100100
3222001110012222012010
421121220230320210
5131133001321140
64345332354220
7505063453410
oct113150547044
928043188163
1010093776420
11430a745692
121b58475970
13c4b262290
146ba7b3d40
153e1233880
hex259a2ce24

10093776420 has 96 divisors (see below), whose sum is σ = 34784725248. Its totient is φ = 2129674752.

The previous prime is 10093776409. The next prime is 10093776443. The reversal of 10093776420 is 2467739001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918879 + ... + 929798.

It is an arithmetic number, because the mean of its divisors is an integer number (362340888).

Almost surely, 210093776420 is an apocalyptic number.

10093776420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10093776420 is an abundant number, since it is smaller than the sum of its proper divisors (24690948828).

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

10093776420 is a wasteful number, since it uses less digits than its factorization.

10093776420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848709 (or 1848707 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10093776420 in words is "ten billion, ninety-three million, seven hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 1848677 3697354 5546031 7394708 9243385 11092062 12940739 18486770 22184124 24032801 25881478 27730155 36973540 38822217 48065602 51762956 55460310 64703695 72098403 77644434 96131204 110920620 120164005 129407390 144196806 155288868 168229607 194111085 240328010 258814780 288393612 336459214 360492015 388222170 480656020 504688821 672918428 720984030 776444340 841148035 1009377642 1441968060 1682296070 2018755284 2523444105 3364592140 5046888210 10093776420