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2373212064 = 253107463499
BaseRepresentation
bin1000110101110100…
…0101011110100000
320010101121122221010
42031131011132200
514330020241224
61031254100520
7112544653416
oct21535053640
96111548833
102373212064
111008686393
1256294a740
132ba8999c2
141872892b6
15dd533e29
hex8d7457a0

2373212064 has 96 divisors (see below), whose sum is σ = 6314112000. Its totient is φ = 780417792.

The previous prime is 2373212041. The next prime is 2373212131. The reversal of 2373212064 is 4602123732.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4755687 + ... + 4756185.

It is an arithmetic number, because the mean of its divisors is an integer number (65772000).

Almost surely, 22373212064 is an apocalyptic number.

2373212064 is a gapful number since it is divisible by the number (24) 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 2373212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157056000).

2373212064 is an abundant number, since it is smaller than the sum of its proper divisors (3940899936).

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

2373212064 is a wasteful number, since it uses less digits than its factorization.

2373212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2373212064 is about 48715.6244340561. The cubic root of 2373212064 is about 1333.8659381097.

Adding to 2373212064 its reverse (4602123732), we get a palindrome (6975335796).

The spelling of 2373212064 in words is "two billion, three hundred seventy-three million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 463 499 642 856 926 998 1284 1389 1497 1712 1852 1996 2568 2778 2994 3424 3704 3992 5136 5556 5988 7408 7984 10272 11112 11976 14816 15968 22224 23952 44448 47904 49541 53393 99082 106786 148623 160179 198164 213572 231037 297246 320358 396328 427144 462074 594492 640716 693111 792656 854288 924148 1188984 1281432 1386222 1585312 1708576 1848296 2377968 2562864 2772444 3696592 4755936 5125728 5544888 7393184 11089776 22179552 24720959 49441918 74162877 98883836 148325754 197767672 296651508 395535344 593303016 791070688 1186606032 2373212064