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3970020816 = 2433194147251
BaseRepresentation
bin1110110010100001…
…1011010111010000
3101020200021221202000
43230220123113100
531112311131231
61453535154000
7200244422466
oct35450332720
911220257660
103970020816
111757a78443
12929675900
134b3656058
1429938c836
151838026e6
hexeca1b5d0

3970020816 has 320 divisors, whose sum is σ = 12599193600. Its totient is φ = 1192320000.

The previous prime is 3970020811. The next prime is 3970020871. The reversal of 3970020816 is 6180200793.

3970020816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39700208162 = 31522130558946611712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970020811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15816691 + ... + 15816941.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 23970020816 is an apocalyptic number.

3970020816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

3970020816 is an abundant number, since it is smaller than the sum of its proper divisors (8629172784).

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

3970020816 is a wasteful number, since it uses less digits than its factorization.

3970020816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3970020816 is about 63008.1011934180. The cubic root of 3970020816 is about 1583.4253539968.

It can be divided in two parts, 39700 and 20816, that added together give a square (60516 = 2462).

The spelling of 3970020816 in words is "three billion, nine hundred seventy million, twenty thousand, eight hundred sixteen".