Search a number
-
+
3494111602872 = 2331131764955817
BaseRepresentation
bin110010110110001001010…
…001111110100010111000
3110101000220122102102101010
4302312021101332202320
5424221420032242442
611233101145553520
7510304225404042
oct62661121764270
913330818372333
103494111602872
1111279319aa270
12485222aa58a0
131c4654a58a07
14c118a07ca92
1560d53436b9c
hex32d8947e8b8

3494111602872 has 128 divisors (see below), whose sum is σ = 9838257408000. Its totient is φ = 1024513843200.

The previous prime is 3494111602843. The next prime is 3494111603023. The reversal of 3494111602872 is 2782061114943.

3494111602872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 62571508 + ... + 62627324.

It is an arithmetic number, because the mean of its divisors is an integer number (76861386000).

Almost surely, 23494111602872 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 3494111602872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919128704000).

3494111602872 is an abundant number, since it is smaller than the sum of its proper divisors (6344145805128).

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

3494111602872 is a wasteful number, since it uses less digits than its factorization.

3494111602872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63517 (or 63513 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 3494111602872 in words is "three trillion, four hundred ninety-four billion, one hundred eleven million, six hundred two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 7649 8184 15298 22947 30596 45894 55817 61192 84139 91788 111634 167451 168278 183576 223268 237119 252417 334902 336556 446536 474238 504834 613987 669804 673112 711357 948476 1009668 1227974 1339608 1422714 1730327 1841961 1896952 2019336 2455948 2608309 2845428 3460654 3683922 4911896 5190981 5216618 5690856 6921308 7367844 7824927 10381962 10433236 13842616 14735688 15649854 19033597 20763924 20866472 31299708 38067194 41527848 57100791 62599416 76134388 114201582 152268776 228403164 426944233 456806328 853888466 1280832699 1707776932 2561665398 3415553864 4696386563 5123330796 9392773126 10246661592 13235271223 14089159689 18785546252 26470542446 28178319378 37571092504 39705813669 52941084892 56356638756 79411627338 105882169784 112713277512 145587983453 158823254676 291175966906 317646509352 436763950359 582351933812 873527900718 1164703867624 1747055801436 3494111602872