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3729606656 = 2114144417
BaseRepresentation
bin1101111001001101…
…0100100000000000
3100121220220122111212
43132103110200000
530114234403111
61414030225252
7161265063536
oct33623244000
910556818455
103729606656
1116442a1756
12881055228
134758bb859
1427548a156
1516c66398b
hexde4d4800

3729606656 has 48 divisors (see below), whose sum is σ = 7639451820. Its totient is φ = 1819279360.

The previous prime is 3729606649. The next prime is 3729606689. The reversal of 3729606656 is 6566069273.

It can be written as a sum of positive squares in 2 ways, for example, as 2572518400 + 1157088256 = 50720^2 + 34016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61760 + ... + 106176.

Almost surely, 23729606656 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 3729606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819725910).

3729606656 is an abundant number, since it is smaller than the sum of its proper divisors (3909845164).

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

3729606656 is an equidigital number, since it uses as much as digits as its factorization.

3729606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44480 (or 44460 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The square root of 3729606656 is about 61070.5056144126. The cubic root of 3729606656 is about 1550.7948273130.

The spelling of 3729606656 in words is "three billion, seven hundred twenty-nine million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 5248 10496 20992 41984 44417 83968 88834 177668 355336 710672 1421344 1821097 2842688 3642194 5685376 7284388 11370752 14568776 22741504 29137552 45483008 58275104 90966016 116550208 233100416 466200832 932401664 1864803328 3729606656