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7075071640 = 2357139072143
BaseRepresentation
bin1101001011011010…
…10000011010011000
3200021001222212201101
412211231100122120
5103442204243030
63130015201144
7340220055010
oct64555203230
920231885641
107075071640
11300076a04a
1214555161b4
13889a2c030
144b18dcc40
152b61e77ca
hex1a5b50698

7075071640 has 128 divisors (see below), whose sum is σ = 19623260160. Its totient is φ = 2235631104.

The previous prime is 7075071637. The next prime is 7075071659. The reversal of 7075071640 is 461705707.

It is a super-2 number, since 2×70750716402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7075071640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300409 + ... + 3302551.

It is an arithmetic number, because the mean of its divisors is an integer number (153306720).

Almost surely, 27075071640 is an apocalyptic number.

7075071640 is a gapful number since it is divisible by the number (70) 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 7075071640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811630080).

7075071640 is an abundant number, since it is smaller than the sum of its proper divisors (12548188520).

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

7075071640 is a wasteful number, since it uses less digits than its factorization.

7075071640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 7075071640 is about 84113.4450608225. The cubic root of 7075071640 is about 1919.7453040333.

The spelling of 7075071640 in words is "seven billion, seventy-five million, seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 907 910 1814 1820 2143 3628 3640 4286 4535 6349 7256 8572 9070 10715 11791 12698 15001 17144 18140 21430 23582 25396 27859 30002 31745 36280 42860 47164 50792 55718 58955 60004 63490 75005 82537 85720 94328 111436 117910 120008 126980 139295 150010 165074 195013 222872 235820 253960 278590 300020 330148 390026 412685 471640 557180 600040 660296 780052 825370 975065 1114360 1560104 1650740 1943701 1950130 3301480 3887402 3900260 7774804 7800520 9718505 13605907 15549608 19437010 25268113 27211814 38874020 50536226 54423628 68029535 77748040 101072452 108847256 126340565 136059070 176876791 202144904 252681130 272118140 353753582 505362260 544236280 707507164 884383955 1010724520 1415014328 1768767910 3537535820 7075071640