Search a number
-
+
58078613088 = 2533312168407
BaseRepresentation
bin110110000101110000…
…010100111001100000
312112220121011020102000
4312011300110321200
51422421111104323
642403030124000
74124146031406
oct660560247140
9175817136360
1058078613088
11226a39546a1
12b30a4b0600
135627678b62
142b4d61d476
15179dc1ce43
hexd85c14e60

58078613088 has 96 divisors (see below), whose sum is σ = 174860421120. Its totient is φ = 18735027840.

The previous prime is 58078613083. The next prime is 58078613137. The reversal of 58078613088 is 88031687085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58078613083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057420 + ... + 1110987.

It is an arithmetic number, because the mean of its divisors is an integer number (1821462720).

Almost surely, 258078613088 is an apocalyptic number.

It is an amenable number.

58078613088 is an abundant number, since it is smaller than the sum of its proper divisors (116781808032).

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

58078613088 is a wasteful number, since it uses less digits than its factorization.

58078613088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168457 (or 2168443 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 58078613088 in words is "fifty-eight billion, seventy-eight million, six hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 2168407 4336814 6505221 8673628 13010442 17347256 19515663 26020884 34694512 39031326 52041768 58546989 67220617 69389024 78062652 104083536 117093978 134441234 156125304 201661851 208167072 234187956 268882468 312250608 403323702 468375912 537764936 604985553 624501216 806647404 936751824 1075529872 1209971106 1613294808 1814956659 1873503648 2151059744 2419942212 3226589616 3629913318 4839884424 6453179232 7259826636 9679768848 14519653272 19359537696 29039306544 58078613088