Search a number
-
+
42847176582728 = 2377911938118329
BaseRepresentation
bin10011011111000001000101…
…01111010110011001001000
312121201011001101222022111222
421233200202233112121020
521104002004201121403
6231043415435341212
712011414656510250
oct1157404257263110
9177634041868458
1042847176582728
111271a4271804a1
1249800a08b1808
131aba61890c2bb
14a81b58a62960
154e4847a6d338
hex26f822bd6648

42847176582728 has 64 divisors (see below), whose sum is σ = 93055545792000. Its totient is φ = 18115431939072.

The previous prime is 42847176582653. The next prime is 42847176582731. The reversal of 42847176582728 is 82728567174824.

It is a super-2 number, since 2×428471765827282 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

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, 1218668 + ... + 9336996.

It is an arithmetic number, because the mean of its divisors is an integer number (1453992903000).

Almost surely, 242847176582728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42847176582728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46527772896000).

42847176582728 is an abundant number, since it is smaller than the sum of its proper divisors (50208369209272).

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

42847176582728 is a wasteful number, since it uses less digits than its factorization.

42847176582728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8119614 (or 8119610 counting only the distinct ones).

The product of its digits is 674365440, while the sum is 71.

The spelling of 42847176582728 in words is "forty-two trillion, eight hundred forty-seven billion, one hundred seventy-six million, five hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 1193 2212 2386 4424 4772 8351 9544 16702 33404 66808 94247 188494 376988 659729 753976 1319458 2638916 5277832 8118329 16236658 32473316 56828303 64946632 113656606 227313212 454626424 641347991 1282695982 2565391964 4489435937 5130783928 8978871874 9685166497 17957743748 19370332994 35915487496 38740665988 67796165479 77481331976 135592330958 271184661916 542369323832 765128153263 1530256306526 3060512613052 5355897072841 6121025226104 10711794145682 21423588291364 42847176582728