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3970008064 = 2101121792
BaseRepresentation
bin1110110010100001…
…1000010000000000
3101020200021022020201
43230220120100000
531112310224224
61453535014544
7200244340351
oct35450302000
911220238221
103970008064
111757a69900
1292966a454
134b36502c9
14299387d28
151837eda44
hexeca18400

3970008064 has 99 divisors (see below), whose sum is σ = 8772199471. Its totient is φ = 1794467840.

The previous prime is 3970008061. The next prime is 3970008071. The reversal of 3970008064 is 4608000793.

The square root of 3970008064 is 63008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3970008061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22178727 + ... + 22178905.

Almost surely, 23970008064 is an apocalyptic number.

3970008064 is the 63008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970008064

3970008064 is an abundant number, since it is smaller than the sum of its proper divisors (4802191407).

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

3970008064 is an equidigital number, since it uses as much as digits as its factorization.

3970008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 3970008064 is about 1583.4236586353.

The spelling of 3970008064 in words is "three billion, nine hundred seventy million, eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 179 242 256 352 358 484 512 704 716 968 1024 1408 1432 1936 1969 2816 2864 3872 3938 5632 5728 7744 7876 11264 11456 15488 15752 21659 22912 30976 31504 32041 43318 45824 61952 63008 64082 86636 91648 123904 126016 128164 173272 183296 252032 256328 346544 352451 504064 512656 693088 704902 1008128 1025312 1386176 1409804 2016256 2050624 2772352 2819608 3876961 4101248 5544704 5639216 7753922 8202496 11089408 11278432 15507844 16404992 22178816 22556864 31015688 32809984 45113728 62031376 90227456 124062752 180454912 248125504 360909824 496251008 992502016 1985004032 3970008064