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10643677240 = 235738399251
BaseRepresentation
bin10011110100110100…
…11010000000111000
31000110202221211022011
421322122122000320
5133244240132430
64520054535304
7524521522660
oct117232320070
930422854264
1010643677240
114572095279
122090667534
131008169591
1472d8391a0
1542465722a
hex27a69a038

10643677240 has 64 divisors (see below), whose sum is σ = 27441192960. Its totient is φ = 3639696000.

The previous prime is 10643677193. The next prime is 10643677301. The reversal of 10643677240 is 4277634601.

It is a super-2 number, since 2×106436772402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10643677193 and 10643677202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57615 + ... + 156865.

It is an arithmetic number, because the mean of its divisors is an integer number (428768640).

Almost surely, 210643677240 is an apocalyptic number.

10643677240 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 10643677240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720596480).

10643677240 is an abundant number, since it is smaller than the sum of its proper divisors (16797515720).

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

10643677240 is a wasteful number, since it uses less digits than its factorization.

10643677240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99652 (or 99648 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 10643677240 in words is "ten billion, six hundred forty-three million, six hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 5362 7660 10724 13405 15320 21448 26810 53620 99251 107240 198502 397004 496255 694757 794008 992510 1389514 1985020 2779028 3473785 3970040 5558056 6947570 13895140 27790280 38013133 76026266 152052532 190065665 266091931 304105064 380131330 532183862 760262660 1064367724 1330459655 1520525320 2128735448 2660919310 5321838620 10643677240