Search a number
-
+
102294169644 = 2233113114271471
BaseRepresentation
bin101111101000100110…
…1010010100000101100
3100210001001112020100210
41133101031102200230
53133444301412034
6114554315022420
710250642044512
oct1372115224054
9323031466323
10102294169644
113a423434777
12179aa13aa10
139852bc2b84
144d45a124b2
1529da8588e9
hex17d135282c

102294169644 has 96 divisors (see below), whose sum is σ = 248609636352. Its totient is φ = 32701032000.

The previous prime is 102294169603. The next prime is 102294169657. The reversal of 102294169644 is 446961492201.

It is a junction number, because it is equal to n+sod(n) for n = 102294169593 and 102294169602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69539829 + ... + 69541299.

It is an arithmetic number, because the mean of its divisors is an integer number (2589683712).

Almost surely, 2102294169644 is an apocalyptic number.

It is an amenable number.

102294169644 is an abundant number, since it is smaller than the sum of its proper divisors (146315466708).

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

102294169644 is a wasteful number, since it uses less digits than its factorization.

102294169644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 102294169644 in words is "one hundred two billion, two hundred ninety-four million, one hundred sixty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 131 186 262 372 393 524 786 1427 1471 1572 2854 2942 4061 4281 4413 5708 5884 8122 8562 8826 12183 16244 17124 17652 24366 44237 45601 48732 88474 91202 132711 136803 176948 182404 186937 192701 265422 273606 373874 385402 530844 547212 560811 578103 747748 770804 1121622 1156206 2099117 2243244 2312412 4198234 5795047 5973731 6297351 8396468 11590094 11947462 12594702 17385141 17921193 23180188 23894924 25189404 34770282 35842386 65072627 69540564 71684772 130145254 195217881 260290508 274984327 390435762 549968654 780871524 824952981 1099937308 1649905962 3299811924 8524514137 17049028274 25573542411 34098056548 51147084822 102294169644