Search a number
-
+
4582000075128 = 2337174633465101
BaseRepresentation
bin100001010101101010001…
…1111001010000101111000
3121020000221110111211110020
41002223110133022011320
51100032414004401003
613424535231250440
7652016143011060
oct102532437120570
917200843454406
104582000075128
1115072406541a3
12620032679a20
13273108550908
1411baacbb63a0
157e2c5986d53
hex42ad47ca178

4582000075128 has 128 divisors (see below), whose sum is σ = 13891455313920. Its totient is φ = 1229472921600.

The previous prime is 4582000075117. The next prime is 4582000075181. The reversal of 4582000075128 is 8215700002854.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4582000075128.

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, 410223 + ... + 3054878.

It is an arithmetic number, because the mean of its divisors is an integer number (108526994640).

Almost surely, 24582000075128 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 4582000075128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945727656960).

4582000075128 is an abundant number, since it is smaller than the sum of its proper divisors (9309455238792).

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

4582000075128 is a wasteful number, since it uses less digits than its factorization.

4582000075128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465597 (or 3465593 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 4582000075128 in words is "four trillion, five hundred eighty-two billion, seventy-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 463 476 714 926 952 1389 1428 1852 2778 2856 3241 3704 5556 6482 7871 9723 11112 12964 15742 19446 23613 25928 31484 38892 47226 55097 62968 77784 94452 110194 165291 188904 220388 330582 440776 661164 1322328 3465101 6930202 10395303 13860404 20790606 24255707 27720808 41581212 48511414 58906717 72767121 83162424 97022828 117813434 145534242 176720151 194045656 235626868 291068484 353440302 412347019 471253736 582136968 706880604 824694038 1237041057 1413761208 1604341763 1649388076 2474082114 3208683526 3298776152 4813025289 4948164228 6417367052 9626050578 9896328456 11230392341 12834734104 19252101156 22460784682 27273809971 33691177023 38504202312 44921569364 54547619942 67382354046 81821429913 89843138728 109095239884 134764708092 163642859826 190916669797 218190479768 269529416184 327285719652 381833339594 572750009391 654571439304 763666679188 1145500018782 1527333358376 2291000037564 4582000075128