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4381600072 = 235967349397
BaseRepresentation
bin1000001010010100…
…11110100101001000
3102022100202100100011
410011022132211020
532433142200242
62002440521304
7213402662143
oct40512364510
912270670304
104381600072
111949331a93
12a23480234
1354a9bcc85
142d7cc905a
151a9a01d17
hex10529e948

4381600072 has 64 divisors (see below), whose sum is σ = 8525160000. Its totient is φ = 2110116096.

The previous prime is 4381600061. The next prime is 4381600133. The reversal of 4381600072 is 2700061834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11036578 + ... + 11036974.

It is an arithmetic number, because the mean of its divisors is an integer number (133205625).

Almost surely, 24381600072 is an apocalyptic number.

It is an amenable number.

4381600072 is a deficient number, since it is larger than the sum of its proper divisors (4143559928).

4381600072 is a wasteful number, since it uses less digits than its factorization.

4381600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4381600072 is about 66193.6558289388. The cubic root of 4381600072 is about 1636.3551903634.

The spelling of 4381600072 in words is "four billion, three hundred eighty-one million, six hundred thousand, seventy-two".

Divisors: 1 2 4 8 59 67 118 134 236 268 349 397 472 536 698 794 1396 1588 2792 3176 3953 7906 15812 20591 23383 23423 26599 31624 41182 46766 46846 53198 82364 93532 93692 106396 138553 164728 187064 187384 212792 277106 554212 1108424 1379597 1569341 2759194 3138682 5518388 6277364 8174627 9283051 11036776 12554728 16349254 18566102 32698508 37132204 65397016 74264408 547700009 1095400018 2190800036 4381600072