Search a number
-
+
72151456374 = 2331336138081
BaseRepresentation
bin100001100110010001…
…1111101101001110110
320220020100200202012000
41003030203331221312
52140231233100444
653051304040130
75132660155134
oct1031443755166
9226210622160
1072151456374
1128665686098
1211b97463046
136a5b0b076a
1436c6658754
151d2443e469
hex10cc8fda76

72151456374 has 16 divisors (see below), whose sum is σ = 160336569840. Its totient is φ = 24050485440.

The previous prime is 72151456331. The next prime is 72151456381. The reversal of 72151456374 is 47365415127.

72151456374 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 1 + 4 + 5 + 637 + 4 = 666.

It is a super-3 number, since 3×721514563743 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 668068987 + ... + 668069094.

It is an arithmetic number, because the mean of its divisors is an integer number (10021035615).

Almost surely, 272151456374 is an apocalyptic number.

72151456374 is an abundant number, since it is smaller than the sum of its proper divisors (88185113466).

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

72151456374 is a wasteful number, since it uses less digits than its factorization.

72151456374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336138092 (or 1336138086 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 72151456374 in words is "seventy-two billion, one hundred fifty-one million, four hundred fifty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 1336138081 2672276162 4008414243 8016828486 12025242729 24050485458 36075728187 72151456374