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10475125620 = 22351765315727
BaseRepresentation
bin10011100000101110…
…11011101101110100
31000001000210111221120
421300113123231310
5132423113004440
64451234143540
7520404045561
oct116027335564
930030714846
1010475125620
114495a31a13
122044121bb0
13cac2735ab
147152c1868
15414960dd0
hex2705dbb74

10475125620 has 96 divisors (see below), whose sum is σ = 31105202688. Its totient is φ = 2624858112.

The previous prime is 10475125613. The next prime is 10475125709. The reversal of 10475125620 is 2652157401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658197 + ... + 673923.

It is an arithmetic number, because the mean of its divisors is an integer number (324012528).

Almost surely, 210475125620 is an apocalyptic number.

10475125620 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 10475125620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552601344).

10475125620 is an abundant number, since it is smaller than the sum of its proper divisors (20630077068).

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

10475125620 is a wasteful number, since it uses less digits than its factorization.

10475125620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16409 (or 16407 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 10475125620 in words is "ten billion, four hundred seventy-five million, one hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 653 1020 1306 1959 2612 3265 3918 6530 7836 9795 11101 13060 15727 19590 22202 31454 33303 39180 44404 47181 55505 62908 66606 78635 94362 111010 133212 157270 166515 188724 222020 235905 267359 314540 333030 471810 534718 666060 802077 943620 1069436 1336795 1604154 2673590 3208308 4010385 5347180 8020770 10269731 16041540 20539462 30809193 41078924 51348655 61618386 102697310 123236772 154045965 174585427 205394620 308091930 349170854 523756281 616183860 698341708 872927135 1047512562 1745854270 2095025124 2618781405 3491708540 5237562810 10475125620