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75032215752 = 23313253349039
BaseRepresentation
bin100010111100001000…
…1001100000011001000
321011200010100111010210
41011320101030003020
52212131221401002
654245212441120
75264240211414
oct1057021140310
9234603314123
1075032215752
112990380326a
12126601791a0
1370c9b75900
1438bb0a1d44
151e422cc96c
hex117844c0c8

75032215752 has 96 divisors (see below), whose sum is σ = 206952796800. Its totient is φ = 22651170048.

The previous prime is 75032215729. The next prime is 75032215813. The reversal of 75032215752 is 25751223057.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 75032215752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40449 + ... + 389487.

It is an arithmetic number, because the mean of its divisors is an integer number (2155758300).

Almost surely, 275032215752 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 75032215752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103476398400).

75032215752 is an abundant number, since it is smaller than the sum of its proper divisors (131920581048).

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

75032215752 is a wasteful number, since it uses less digits than its factorization.

75032215752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349127 (or 349110 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The spelling of 75032215752 in words is "seventy-five billion, thirty-two million, two hundred fifteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 169 212 312 318 338 424 507 636 676 689 1014 1272 1352 1378 2028 2067 2756 4056 4134 5512 8268 8957 16536 17914 26871 35828 53742 71656 107484 214968 349039 698078 1047117 1396156 2094234 2792312 4188468 4537507 8376936 9075014 13612521 18150028 18499067 27225042 36300056 36998134 54450084 55497201 58987591 73996268 108900168 110994402 117975182 147992536 176962773 221988804 235950364 240487871 353925546 443977608 471900728 480975742 707851092 721463613 961951484 1415702184 1442927226 1923902968 2885854452 3126342323 5771708904 6252684646 9379026969 12505369292 18758053938 25010738584 37516107876 75032215752