Search a number
-
+
31299246552 = 23374719792003
BaseRepresentation
bin11101001001100101…
…001001100111011000
32222210022001110120210
4131021211021213120
51003100101342202
622213443251120
72155424130450
oct351145114730
988708043523
1031299246552
1112301677212
126096079aa0
132c4a5c8142
14172cc10d60
15c32c1ac6c
hex7499499d8

31299246552 has 128 divisors (see below), whose sum is σ = 91420876800. Its totient is φ = 8743582848.

The previous prime is 31299246551. The next prime is 31299246553. The reversal of 31299246552 is 25564299213.

It is an interprime number because it is at equal distance from previous prime (31299246551) and next prime (31299246553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31299246551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15625183 + ... + 15627185.

It is an arithmetic number, because the mean of its divisors is an integer number (714225600).

Almost surely, 231299246552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31299246552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45710438400).

31299246552 is an abundant number, since it is smaller than the sum of its proper divisors (60121630248).

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

31299246552 is a wasteful number, since it uses less digits than its factorization.

31299246552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4041 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 31299246552 in words is "thirty-one billion, two hundred ninety-nine million, two hundred forty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 1979 2003 2632 3948 3958 4006 5937 6009 7896 7916 8012 11874 12018 13853 14021 15832 16024 23748 24036 27706 28042 41559 42063 47496 48072 55412 56084 83118 84126 93013 94141 110824 112168 166236 168252 186026 188282 279039 282423 332472 336504 372052 376564 558078 564846 651091 658987 744104 753128 1116156 1129692 1302182 1317974 1953273 1976961 2232312 2259384 2604364 2635948 3906546 3953922 3963937 5208728 5271896 7813092 7907844 7927874 11891811 15626184 15815688 15855748 23783622 27747559 31711496 47567244 55495118 83242677 95134488 110990236 166485354 186305039 221980472 332970708 372610078 558915117 665941416 745220156 1117830234 1304135273 1490440312 2235660468 2608270546 3912405819 4471320936 5216541092 7824811638 10433082184 15649623276 31299246552