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3973465296 = 243227593509
BaseRepresentation
bin1110110011010110…
…0100010011010000
3101020220202221200100
43230311210103100
531114201342141
61454141052400
7200315616633
oct35465442320
911226687610
103973465296
111759a10319
1292a857100
134b4290ac8
14299a07c1a
15183c830b6
hexecd644d0

3973465296 has 30 divisors (see below), whose sum is σ = 11120184530. Its totient is φ = 1324488384.

The previous prime is 3973465277. The next prime is 3973465361. The reversal of 3973465296 is 6925643793.

3973465296 is a `hidden beast` number, since 3 + 9 + 7 + 346 + 5 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3964465296 + 9000000 = 62964^2 + 3000^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13796611 + ... + 13796898.

Almost surely, 23973465296 is an apocalyptic number.

3973465296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3973465296 is an abundant number, since it is smaller than the sum of its proper divisors (7146719234).

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

3973465296 is a wasteful number, since it uses less digits than its factorization.

3973465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27593523 (or 27593514 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 3973465296 is about 63035.4288951856. The cubic root of 3973465296 is about 1583.8831601911.

The spelling of 3973465296 in words is "three billion, nine hundred seventy-three million, four hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27593509 55187018 82780527 110374036 165561054 220748072 248341581 331122108 441496144 496683162 662244216 993366324 1324488432 1986732648 3973465296