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2512114968 = 2331114963863
BaseRepresentation
bin1001010110111011…
…1101010100011000
320111001222122220010
42111232331110120
520121100134333
61053135201520
7116152424226
oct22556752430
96431878803
102512114968
11107a029180
125a13762a0
133105b187c
1419b8c5b16
15ea820563
hex95bbd518

2512114968 has 64 divisors (see below), whose sum is σ = 6897312000. Its totient is φ = 756126080.

The previous prime is 2512114961. The next prime is 2512114981. The reversal of 2512114968 is 8694112152.

It is a super-2 number, since 2×25121149682 = 12621443224899282048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512114961) 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 15 ways as a sum of consecutive naturals, for example, 7405 + ... + 71267.

It is an arithmetic number, because the mean of its divisors is an integer number (107770500).

Almost surely, 22512114968 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 2512114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448656000).

2512114968 is an abundant number, since it is smaller than the sum of its proper divisors (4385197032).

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

2512114968 is a wasteful number, since it uses less digits than its factorization.

2512114968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64032 (or 64028 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 2512114968 is about 50121.0032621056. The cubic root of 2512114968 is about 1359.3976152898.

The spelling of 2512114968 in words is "two billion, five hundred twelve million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1639 1788 3278 3576 4917 6556 9834 13112 19668 39336 63863 127726 191589 255452 383178 510904 702493 766356 1404986 1532712 2107479 2809972 4214958 5619944 8429916 9515587 16859832 19031174 28546761 38062348 57093522 76124696 104671457 114187044 209342914 228374088 314014371 418685828 628028742 837371656 1256057484 2512114968