Search a number
-
+
73125786438 = 232191272576551
BaseRepresentation
bin100010000011010100…
…0101111001101000110
320222202021001211202200
41010012220233031012
52144230200131223
653332111215330
75166060633435
oct1040650571506
9228667054680
1073125786438
1129015666751
1212209817546
136b84c00823
143779c0311c
151d7ec4ea43
hex1106a2f346

73125786438 has 96 divisors (see below), whose sum is σ = 168771133440. Its totient is φ = 22817894400.

The previous prime is 73125786421. The next prime is 73125786443. The reversal of 73125786438 is 83468752137.

It is a happy number.

73125786438 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 578 + 64 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11159263 + ... + 11165813.

It is an arithmetic number, because the mean of its divisors is an integer number (1758032640).

Almost surely, 273125786438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73125786438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84385566720).

73125786438 is an abundant number, since it is smaller than the sum of its proper divisors (95645347002).

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

73125786438 is a wasteful number, since it uses less digits than its factorization.

73125786438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6959 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 73125786438 in words is "seventy-three billion, one hundred twenty-five million, seven hundred eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 257 342 381 514 762 771 1143 1542 2286 2313 2413 4626 4826 4883 6551 7239 9766 13102 14478 14649 19653 21717 29298 32639 39306 43434 43947 58959 65278 87894 97917 117918 124469 195834 248938 293751 373407 587502 620141 746814 831977 1120221 1240282 1663954 1683607 1860423 2240442 2495931 3367214 3720846 4991862 5050821 5581269 7487793 10101642 11162538 14975586 15152463 15807563 30304926 31615126 31988533 47422689 63977066 94845378 95965599 142268067 191931198 213818089 284536134 287896797 427636178 575793594 641454267 1282908534 1924362801 3848725602 4062543691 8125087382 12187631073 24375262146 36562893219 73125786438