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75058429264 = 24713232241353
BaseRepresentation
bin100010111100111010…
…1001011110101010000
321011201221200021022121
41011321311023311100
52212204424214024
654251550344024
75265006056560
oct1057165136520
9234657607277
1075058429264
1129917587925
1212668abb014
137102423270
1438c0766da0
151e447598e4
hex1179d4bd50

75058429264 has 80 divisors (see below), whose sum is σ = 186767546112. Its totient is φ = 28402412544.

The previous prime is 75058429261. The next prime is 75058429321. The reversal of 75058429264 is 46292485057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75058429261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087189 + ... + 1154164.

Almost surely, 275058429264 is an apocalyptic number.

It is an amenable number.

75058429264 is an abundant number, since it is smaller than the sum of its proper divisors (111709116848).

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

75058429264 is a wasteful number, since it uses less digits than its factorization.

75058429264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241404 (or 2241398 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 75058429264 in words is "seventy-five billion, fifty-eight million, four hundred twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16744 33488 2241353 4482706 8965412 15689471 17930824 29137589 31378942 35861648 51551119 58275178 62757884 103102238 116550356 125515768 203963123 206204476 233100712 251031536 360857833 407926246 412408952 466201424 670164547 721715666 815852492 824817904 1340329094 1443431332 1631704984 2680658188 2886862664 3263409968 4691151829 5361316376 5773725328 9382303658 10722632752 18764607316 37529214632 75058429264