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10642043640 = 23351941113843
BaseRepresentation
bin10011110100101000…
…01011001011111000
31000110122212211102110
421322110023023320
5133243330344030
64515555532320
7524501610204
oct117224131370
930418784373
1010642043640
114571179998
12208bbba0a0
131007a16b57
1472d531b04
154244331b0
hex27a50b2f8

10642043640 has 128 divisors (see below), whose sum is σ = 34426425600. Its totient is φ = 2622919680.

The previous prime is 10642043617. The next prime is 10642043647. The reversal of 10642043640 is 4634024601.

10642043640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106420436402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10642043598 and 10642043607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642043647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36559 + ... + 150401.

It is an arithmetic number, because the mean of its divisors is an integer number (268956450).

Almost surely, 210642043640 is an apocalyptic number.

10642043640 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 10642043640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213212800).

10642043640 is an abundant number, since it is smaller than the sum of its proper divisors (23784381960).

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

10642043640 is a wasteful number, since it uses less digits than its factorization.

10642043640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113917 (or 113913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10642043640 in words is "ten billion, six hundred forty-two million, forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 456 492 570 615 760 779 820 984 1140 1230 1558 1640 2280 2337 2460 3116 3895 4674 4920 6232 7790 9348 11685 15580 18696 23370 31160 46740 93480 113843 227686 341529 455372 569215 683058 910744 1138430 1366116 1707645 2163017 2276860 2732232 3415290 4326034 4553720 4667563 6489051 6830580 8652068 9335126 10815085 12978102 13661160 14002689 17304136 18670252 21630170 23337815 25956204 28005378 32445255 37340504 43260340 46675630 51912408 56010756 64890510 70013445 86520680 88683697 93351260 112021512 129781020 140026890 177367394 186702520 259562040 266051091 280053780 354734788 443418485 532102182 560107560 709469576 886836970 1064204364 1330255455 1773673940 2128408728 2660510910 3547347880 5321021820 10642043640