Search a number
-
+
72390133134 = 23311611997851
BaseRepresentation
bin100001101101011001…
…0011100010110001110
320220211222210210011000
41003122302130112032
52141223333230014
653131111441130
75141615656554
oct1033262342616
9226758723130
1072390133134
1128778385510
12120433861a6
136a9868a207
14370a227bd4
151d3a388509
hex10dac9c58e

72390133134 has 64 divisors (see below), whose sum is σ = 178368226560. Its totient is φ = 21576780000.

The previous prime is 72390133099. The next prime is 72390133237. The reversal of 72390133134 is 43133109327.

It is a happy number.

72390133134 is a `hidden beast` number, since 7 + 2 + 390 + 133 + 134 = 666.

It is a Curzon number.

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, 962692 + ... + 1035159.

It is an arithmetic number, because the mean of its divisors is an integer number (2787003540).

Almost surely, 272390133134 is an apocalyptic number.

72390133134 is an abundant number, since it is smaller than the sum of its proper divisors (105978093426).

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

72390133134 is a wasteful number, since it uses less digits than its factorization.

72390133134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997934 (or 1997928 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 72390133134 in words is "seventy-two billion, three hundred ninety million, one hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1098 1342 1647 2013 3294 4026 6039 12078 18117 36234 1997851 3995702 5993553 11987106 17980659 21976361 35961318 43952722 53941977 65929083 107883954 121868911 131858166 197787249 243737822 365606733 395574498 593361747 731213466 1096820199 1186723494 1340558021 2193640398 2681116042 3290460597 4021674063 6580921194 8043348126 12065022189 24130044378 36195066567 72390133134