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3972645901 = 717165720147
BaseRepresentation
bin1110110011001001…
…1100010000001101
3101020212020022200101
43230302130100031
531113444132101
61454111331101
7200305635010
oct35462342015
911225208611
103972645901
111759500734
1292a520a91
134b4064b63
14299873377
15183b70401
hexecc9c40d

3972645901 has 16 divisors (see below), whose sum is σ = 4810375296. Its totient is φ = 3202730496.

The previous prime is 3972645893. The next prime is 3972645931. The reversal of 3972645901 is 1095462793.

It is a happy number.

It is not a de Polignac number, because 3972645901 - 23 = 3972645893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972645931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187110 + ... + 207256.

It is an arithmetic number, because the mean of its divisors is an integer number (300648456).

Almost surely, 23972645901 is an apocalyptic number.

It is an amenable number.

3972645901 is a deficient number, since it is larger than the sum of its proper divisors (837729395).

3972645901 is a wasteful number, since it uses less digits than its factorization.

3972645901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 3972645901 is about 63028.9290802247. The cubic root of 3972645901 is about 1583.7742783070.

The spelling of 3972645901 in words is "three billion, nine hundred seventy-two million, six hundred forty-five thousand, nine hundred one".

Divisors: 1 7 17 119 1657 11599 20147 28169 141029 197183 342499 2397493 33383579 233685053 567520843 3972645901