Search a number
-
+
75132290988 = 22345310934003
BaseRepresentation
bin100010111111000111…
…0111100011110101100
321011221002122211120000
41011332032330132230
52212332331302423
654303145424300
75266563636066
oct1057616743654
9234832584500
1075132290988
1129955246277
121268979b090
137114814721
1438ca4b2736
151e4ae99843
hex117e3bc7ac

75132290988 has 120 divisors (see below), whose sum is σ = 200349637488. Its totient is φ = 24542953344.

The previous prime is 75132290977. The next prime is 75132291011. The reversal of 75132290988 is 88909223157.

It is a super-2 number, since 2×751322909882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18766995 + ... + 18770997.

Almost surely, 275132290988 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 75132290988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100174818744).

75132290988 is an abundant number, since it is smaller than the sum of its proper divisors (125217346500).

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

75132290988 is a wasteful number, since it uses less digits than its factorization.

75132290988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 75132290988 in words is "seventy-five billion, one hundred thirty-two million, two hundred ninety thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1093 1431 1908 2186 2862 3279 4003 4293 4372 5724 6558 8006 8586 9837 12009 13116 16012 17172 19674 24018 29511 36027 39348 48036 57929 59022 72054 88533 108081 115858 118044 144108 173787 177066 212159 216162 231716 324243 347574 354132 424318 432324 521361 636477 648486 695148 848636 1042722 1272954 1296972 1564083 1909431 2085444 2545908 3128166 3818862 4375279 4692249 5728293 6256332 7637724 8750558 9384498 11456586 13125837 17184879 17501116 18768996 22913172 26251674 34369758 39377511 52503348 68739516 78755022 118132533 157510044 231889787 236265066 354397599 463779574 472530132 695669361 708795198 927559148 1391338722 1417590396 2087008083 2782677444 4174016166 6261024249 8348032332 12522048498 18783072747 25044096996 37566145494 75132290988