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1056504102724 = 2272329209926951
BaseRepresentation
bin11110101111111001000…
…11010011111101000100
310202000000120212020201101
433113330203103331010
5114302210022241344
62125203513305444
7136221104462260
oct17277443237504
93660016766641
101056504102724
11378074028654
12150911105284
1378821694955
14391c68c90a0
151c73711c9d4
hexf5fc8d3f44

1056504102724 has 96 divisors (see below), whose sum is σ = 2282079744000. Its totient is φ = 417951811200.

The previous prime is 1056504102713. The next prime is 1056504102727. The reversal of 1056504102724 is 4272014056501.

It is a super-2 number, since 2×10565041027242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056504102727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39187449 + ... + 39214399.

It is an arithmetic number, because the mean of its divisors is an integer number (23771664000).

Almost surely, 21056504102724 is an apocalyptic number.

1056504102724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056504102724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141039872000).

1056504102724 is an abundant number, since it is smaller than the sum of its proper divisors (1225575641276).

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

1056504102724 is a wasteful number, since it uses less digits than its factorization.

1056504102724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29113 (or 29111 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 1056504102724 in words is "one trillion, fifty-six billion, five hundred four million, one hundred two thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 812 1334 2099 2668 4198 4669 8396 9338 14693 18676 26951 29386 48277 53902 58772 60871 96554 107804 121742 188657 193108 243484 337939 377314 426097 619873 675878 754628 781579 852194 1239746 1351756 1400033 1563158 1704388 2479492 2800066 3126316 4339111 5471053 5600132 8678222 9800231 10942106 17356444 17976317 19600462 21884212 35952634 39200924 56570149 71905268 113140298 125834219 226280596 251668438 395991043 503336876 791982086 1301113427 1583964172 1640534321 2602226854 3281068642 5204453708 6562137284 9107793989 11483740247 18215587978 22967480494 36431175956 37732289383 45934960988 75464578766 150929157532 264126025681 528252051362 1056504102724