Search a number
-
+
74520845136 = 243219205313267
BaseRepresentation
bin100010101100111001…
…0011101101101010000
321010100111010011112100
41011121302131231100
52210104314021021
654122344200400
75245460506113
oct1053162355520
9233314104470
1074520845136
112967108aa21
1212538a69100
137047c3c14a
14386d1ca57a
151e1246a626
hex1159c9db50

74520845136 has 120 divisors (see below), whose sum is σ = 219654924320. Its totient is φ = 23519662848.

The previous prime is 74520845111. The next prime is 74520845167. The reversal of 74520845136 is 63154802547.

74520845136 is a `hidden beast` number, since 7 + 4 + 52 + 0 + 84 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74520845091 and 74520845100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5610375 + ... + 5623641.

Almost surely, 274520845136 is an apocalyptic number.

74520845136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74520845136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109827462160).

74520845136 is an abundant number, since it is smaller than the sum of its proper divisors (145134079184).

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

74520845136 is a wasteful number, since it uses less digits than its factorization.

74520845136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 74520845136 in words is "seventy-four billion, five hundred twenty million, eight hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2053 2736 4106 6159 8212 12318 13267 16424 18477 24636 26534 32848 36954 39007 39801 49272 53068 73908 78014 79602 98544 106136 117021 119403 147816 156028 159204 212272 234042 238806 252073 295632 312056 318408 351063 468084 477612 504146 624112 636816 702126 756219 936168 955224 1008292 1404252 1512438 1872336 1910448 2016584 2268657 2808504 3024876 4033168 4537314 5617008 6049752 9074628 12099504 18149256 27237151 36298512 54474302 81711453 108948604 163422906 217897208 245134359 326845812 435794416 490268718 517505869 653691624 980537436 1035011738 1307383248 1552517607 1961074872 2070023476 3105035214 3922149744 4140046952 4657552821 6210070428 8280093904 9315105642 12420140856 18630211284 24840281712 37260422568 74520845136