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3970786816 = 298818803
BaseRepresentation
bin1110110010101101…
…0110011000000000
3101020201201212111101
43230223112120000
531113010134231
61454003424144
7200254062643
oct35453263000
911221655441
103970786816
1117584509a7
12929985054
134b38638c9
1429950ba5a
15183904661
hexecad6600

3970786816 has 40 divisors (see below), whose sum is σ = 7943725944. Its totient is φ = 1982914560.

The previous prime is 3970786811. The next prime is 3970786829. The reversal of 3970786816 is 6186870793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970786811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446671 + ... + 455473.

Almost surely, 23970786816 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 3970786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971862972).

3970786816 is an abundant number, since it is smaller than the sum of its proper divisors (3972939128).

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

3970786816 is an frugal number, since it uses more digits than its factorization.

3970786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The square root of 3970786816 is about 63014.1794836686. The cubic root of 3970786816 is about 1583.5271860256.

The spelling of 3970786816 in words is "three billion, nine hundred seventy million, seven hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 881 1762 3524 7048 8803 14096 17606 28192 35212 56384 70424 112768 140848 225536 281696 451072 563392 1126784 2253568 4507136 7755443 15510886 31021772 62043544 124087088 248174176 496348352 992696704 1985393408 3970786816