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2012375376 = 2432111817019
BaseRepresentation
bin111011111110010…
…0110100101010000
312012020122021001100
41313330212211100
513110132003001
6531404104400
7100603623414
oct16774464520
95166567040
102012375376
11942a2a450
12481b35100
13260bbb17b
1415139ad44
15bba09586
hex77f26950

2012375376 has 120 divisors (see below), whose sum is σ = 6178667040. Its totient is φ = 606355200.

The previous prime is 2012375353. The next prime is 2012375381. The reversal of 2012375376 is 6735732102.

It is a super-2 number, since 2×20123753762 = 8099309307862282752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2012375376.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 283195 + ... + 290213.

It is an arithmetic number, because the mean of its divisors is an integer number (51488892).

Almost surely, 22012375376 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 2012375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089333520).

2012375376 is an abundant number, since it is smaller than the sum of its proper divisors (4166291664).

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

2012375376 is a wasteful number, since it uses less digits than its factorization.

2012375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2012375376 is about 44859.5070860124. The cubic root of 2012375376 is about 1262.5143744532.

The spelling of 2012375376 in words is "two billion, twelve million, three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 181 198 264 362 396 528 543 724 792 1086 1448 1584 1629 1991 2172 2896 3258 3982 4344 5973 6516 7019 7964 8688 11946 13032 14038 15928 17919 21057 23892 26064 28076 31856 35838 42114 47784 56152 63171 71676 77209 84228 95568 112304 126342 143352 154418 168456 231627 252684 286704 308836 336912 463254 505368 617672 694881 926508 1010736 1235344 1270439 1389762 1853016 2540878 2779524 3706032 3811317 5081756 5559048 7622634 10163512 11118096 11433951 13974829 15245268 20327024 22867902 27949658 30490536 41924487 45735804 55899316 60981072 83848974 91471608 111798632 125773461 167697948 182943216 223597264 251546922 335395896 503093844 670791792 1006187688 2012375376