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56442152312 = 23713372817457
BaseRepresentation
bin110100100100001101…
…101110010101111000
312101200112212102020122
4310210031232111320
51411043142333222
641532411112412
74035455243630
oct644415562570
9171615772218
1056442152312
1121a3413a477
12ab32442708
135426618480
142a361576c0
15170521aa42
hexd2436e578

56442152312 has 128 divisors (see below), whose sum is σ = 134265479040. Its totient is φ = 21645066240.

The previous prime is 56442152311. The next prime is 56442152359. The reversal of 56442152312 is 21325124465.

56442152312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564421523122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56442152311) 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, 7565288 + ... + 7572744.

It is an arithmetic number, because the mean of its divisors is an integer number (1048949055).

Almost surely, 256442152312 is an apocalyptic number.

56442152312 is a gapful number since it is divisible by the number (52) 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 56442152312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67132739520).

56442152312 is an abundant number, since it is smaller than the sum of its proper divisors (77823326728).

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

56442152312 is a wasteful number, since it uses less digits than its factorization.

56442152312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7797 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

Adding to 56442152312 its reverse (21325124465), we get a palindrome (77767276777).

The spelling of 56442152312 in words is "fifty-six billion, four hundred forty-two million, one hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 281 296 364 481 518 562 728 962 1036 1124 1924 1967 2072 2248 3367 3653 3848 3934 6734 7306 7457 7868 10397 13468 14612 14914 15736 20794 25571 26936 29224 29828 41588 51142 52199 59656 72779 83176 96941 102284 104398 135161 145558 193882 204568 208796 270322 275909 291116 387764 417592 540644 551818 582232 678587 775528 946127 1081288 1103636 1357174 1892254 1931363 2095417 2207272 2714348 3586817 3784508 3862726 4190834 5428696 7173634 7569016 7725452 8381668 14347268 14667919 15450904 16763336 25107719 27240421 28694536 29335838 50215438 54480842 58671676 77530429 100430876 108961684 117343352 155060858 190682947 200861752 217923368 310121716 381365894 542713003 620243432 762731788 1007895577 1085426006 1525463576 2015791154 2170852012 4031582308 4341704024 7055269039 8063164616 14110538078 28221076156 56442152312