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42310640656 = 24192331195203
BaseRepresentation
bin100111011001111010…
…010010010000010000
311001012200221020121001
4213121322102100100
51143123011000111
631234235511344
73025332340324
oct473172222020
9131180836531
1042310640656
1116a42287619
1282498b8554
133cb39b1a5b
142095409984
1511797ab1c1
hex9d9e92410

42310640656 has 80 divisors (see below), whose sum is σ = 92948336640. Its totient is φ = 18551998080.

The previous prime is 42310640639. The next prime is 42310640731. The reversal of 42310640656 is 65604601324.

It is a super-2 number, since 2×423106406562 (a number of 22 digits) contains 22 as substring.

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, 119151 + ... + 314353.

It is an arithmetic number, because the mean of its divisors is an integer number (1161854208).

Almost surely, 242310640656 is an apocalyptic number.

42310640656 is a gapful number since it is divisible by the number (46) 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 42310640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46474168320).

42310640656 is an abundant number, since it is smaller than the sum of its proper divisors (50637695984).

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

42310640656 is a wasteful number, since it uses less digits than its factorization.

42310640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195284 (or 195278 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 42310640656 in words is "forty-two billion, three hundred ten million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 31 38 46 62 76 92 124 152 184 248 304 368 437 496 589 713 874 1178 1426 1748 2356 2852 3496 4712 5704 6992 9424 11408 13547 27094 54188 108376 195203 216752 390406 780812 1561624 3123248 3708857 4489669 6051293 7417714 8979338 12102586 14835428 17958676 24205172 29670856 35917352 48410344 59341712 71834704 85303711 96820688 114974567 139179739 170607422 229949134 278359478 341214844 459898268 556718956 682429688 919796536 1113437912 1364859376 1839593072 2226875824 2644415041 5288830082 10577660164 21155320328 42310640656