Search a number
-
+
72058021542 = 23213307940263
BaseRepresentation
bin100001100011011111…
…1100010011010100110
320212222211212202200200
41003012333202122212
52140033323142132
653034125251330
75130444035313
oct1030677423246
9225884782620
1072058021542
1128617969121
1211b70103b46
136a44928290
1436b8095d0a
151d1b134d7c
hex10c6fe26a6

72058021542 has 24 divisors (see below), whose sum is σ = 168135384144. Its totient is φ = 22171698864.

The previous prime is 72058021537. The next prime is 72058021547. The reversal of 72058021542 is 24512085027.

It is a happy number.

72058021542 is a `hidden beast` number, since 7 + 2 + 0 + 580 + 21 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72058021537) and next prime (72058021547).

It is a junction number, because it is equal to n+sod(n) for n = 72058021497 and 72058021506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72058021547) 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 11 ways as a sum of consecutive naturals, for example, 153969898 + ... + 153970365.

It is an arithmetic number, because the mean of its divisors is an integer number (7005641006).

Almost surely, 272058021542 is an apocalyptic number.

72058021542 is an abundant number, since it is smaller than the sum of its proper divisors (96077362602).

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

72058021542 is a wasteful number, since it uses less digits than its factorization.

72058021542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307940284 (or 307940281 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 72058021542 in words is "seventy-two billion, fifty-eight million, twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 307940263 615880526 923820789 1847641578 2771462367 4003223419 5542924734 8006446838 12009670257 24019340514 36029010771 72058021542