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7474000644 = 22321121189449
BaseRepresentation
bin1101111010111110…
…00011001100000100
3201021212122120102200
412331133003030010
5110301321010034
63233345434500
7353132646225
oct67537031404
921255576380
107474000644
113195973340
12154703ba30
13921586cb6
1450c8a524c
152db248a99
hex1bd7c3304

7474000644 has 72 divisors (see below), whose sum is σ = 20708032800. Its totient is φ = 2254089600.

The previous prime is 7474000631. The next prime is 7474000663. The reversal of 7474000644 is 4460004747.

7474000644 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 0 + 0 + 0 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7474000599 and 7474000608.

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, 38832 + ... + 128280.

Almost surely, 27474000644 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 7474000644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354016400).

7474000644 is an abundant number, since it is smaller than the sum of its proper divisors (13234032156).

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

7474000644 is a wasteful number, since it uses less digits than its factorization.

7474000644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89681 (or 89676 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7474000644 is about 86452.3027108012. The cubic root of 7474000644 is about 1955.1693343905.

The spelling of 7474000644 in words is "seven billion, four hundred seventy-four million, six hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1899 2321 2532 3798 4642 6963 7596 9284 13926 20889 27852 41778 83556 89449 178898 268347 357796 536694 805041 983939 1073388 1610082 1967878 2951817 3220164 3935756 5903634 8855451 11807268 17710902 18873739 35421804 37747478 56621217 75494956 113242434 169863651 207611129 226484868 339727302 415222258 622833387 679454604 830444516 1245666774 1868500161 2491333548 3737000322 7474000644