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3965706480 = 243516523777
BaseRepresentation
bin1110110001011111…
…1110000011110000
3101020101011202120210
43230113332003300
531110210101410
61453302504120
7200162643321
oct35427760360
911211152523
103965706480
1117555a0a7a
12928135040
134b27a53a8
14298988448
1518324e220
hexec5fe0f0

3965706480 has 40 divisors (see below), whose sum is σ = 12293690832. Its totient is φ = 1057521664.

The previous prime is 3965706473. The next prime is 3965706487. The reversal of 3965706480 is 846075693.

It is an interprime number because it is at equal distance from previous prime (3965706473) and next prime (3965706487).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965706487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8261649 + ... + 8262128.

Almost surely, 23965706480 is an apocalyptic number.

3965706480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3965706480 is an abundant number, since it is smaller than the sum of its proper divisors (8327984352).

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

3965706480 is a wasteful number, since it uses less digits than its factorization.

3965706480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16523793 (or 16523787 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3965706480 is about 62973.8555275124. The cubic root of 3965706480 is about 1582.8515614437.

The spelling of 3965706480 in words is "three billion, nine hundred sixty-five million, seven hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16523777 33047554 49571331 66095108 82618885 99142662 132190216 165237770 198285324 247856655 264380432 330475540 396570648 495713310 660951080 793141296 991426620 1321902160 1982853240 3965706480