Search a number
-
+
20240727530004 = 22325696918631657
BaseRepresentation
bin1001001101000101010010…
…10111111101101000010100
32122122222212002210002012100
410212202221113331220110
510123111002221430004
6111014243432322100
74156226045201262
oct446425127755024
978588762702170
1020240727530004
1164a405401a343
12232a956843330
13b3a900313497
144dd9293ad432
15251793b01739
hex1268a95fda14

20240727530004 has 144 divisors (see below), whose sum is σ = 51418643028480. Its totient is φ = 6713457914880.

The previous prime is 20240727529999. The next prime is 20240727530189. The reversal of 20240727530004 is 40003572704202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12215284344 + ... + 12215286000.

It is an arithmetic number, because the mean of its divisors is an integer number (357073909920).

Almost surely, 220240727530004 is an apocalyptic number.

It is an amenable number.

20240727530004 is an abundant number, since it is smaller than the sum of its proper divisors (31177915498476).

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

20240727530004 is a wasteful number, since it uses less digits than its factorization.

20240727530004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 20240727530004 in words is "twenty trillion, two hundred forty billion, seven hundred twenty-seven million, five hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 569 691 863 1138 1382 1657 1707 1726 2073 2276 2589 2764 3314 3414 3452 4146 4971 5121 5178 6219 6628 6828 7767 8292 9942 10242 10356 12438 14913 15534 19884 20484 24876 29826 31068 59652 393179 491047 596333 786358 942833 982094 1144987 1179537 1192666 1429991 1473141 1572716 1788999 1885666 1964188 2289974 2359074 2385332 2828499 2859982 2946282 3434961 3538611 3577998 3771332 4289973 4419423 4579948 4718148 5366997 5656998 5719964 5892564 6869922 7077222 7155996 8485497 8579946 8838846 10304883 10733994 11313996 12869919 13739844 14154444 16970994 17159892 17677692 20609766 21467988 25739838 33941988 41219532 51479676 339313477 651497603 678626954 813664879 988123781 1017940431 1302995206 1357253908 1627329758 1954492809 1976247562 2035880862 2440994637 2605990412 2964371343 3053821293 3254659516 3908985618 3952495124 4071761724 4881989274 5863478427 5928742686 6107642586 7322983911 7817971236 8893114029 9763978548 11726956854 11857485372 12215285172 14645967822 17786228058 23453913708 29291935644 35572456116 562242431389 1124484862778 1686727294167 2248969725556 3373454588334 5060181882501 6746909176668 10120363765002 20240727530004