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7434445664 = 252317956431
BaseRepresentation
bin1101110110010000…
…01010001101100000
3201012010012222012102
412323020022031200
5110211204230124
63225413545532
7352142513462
oct67310121540
921163188172
107434445664
113175607078
1215359452a8
13916317b99
1450752a132
152d7a33aae
hex1bb20a360

7434445664 has 48 divisors (see below), whose sum is σ = 15358533120. Its totient is φ = 3535678080.

The previous prime is 7434445651. The next prime is 7434445717. The reversal of 7434445664 is 4665444347.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103529 + ... + 159959.

It is an arithmetic number, because the mean of its divisors is an integer number (319969440).

Almost surely, 27434445664 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 7434445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679266560).

7434445664 is an abundant number, since it is smaller than the sum of its proper divisors (7924087456).

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

7434445664 is a wasteful number, since it uses less digits than its factorization.

7434445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56643 (or 56635 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 47.

The square root of 7434445664 is about 86223.2315794299. The cubic root of 7434445664 is about 1951.7140890704.

The spelling of 7434445664 in words is "seven billion, four hundred thirty-four million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 179 184 358 368 716 736 1432 2864 4117 5728 8234 16468 32936 56431 65872 112862 131744 225724 451448 902896 1297913 1805792 2595826 5191652 10101149 10383304 20202298 20766608 40404596 41533216 80809192 161618384 232326427 323236768 464652854 929305708 1858611416 3717222832 7434445664