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72417671427 = 3315314692163
BaseRepresentation
bin100001101110001101…
…1011111100100000011
320220220220121212120210
41003130123133210003
52141302410441202
653133534005203
75142402023253
oct1033433374403
9226826555523
1072417671427
1128791984432
1212050646803
136aa12ac86a
14370db55963
151d3c9c7c6c
hex10dc6df903

72417671427 has 16 divisors (see below), whose sum is σ = 101552237568. Its totient is φ = 45839545440.

The previous prime is 72417671419. The next prime is 72417671441.

72417671427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72417671427 - 23 = 72417671419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72417671477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7341153 + ... + 7351010.

It is an arithmetic number, because the mean of its divisors is an integer number (6347014848).

Almost surely, 272417671427 is an apocalyptic number.

72417671427 is a deficient number, since it is larger than the sum of its proper divisors (29134566141).

72417671427 is a wasteful number, since it uses less digits than its factorization.

72417671427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692250.

The product of its digits is 921984, while the sum is 48.

The spelling of 72417671427 in words is "seventy-two billion, four hundred seventeen million, six hundred seventy-one thousand, four hundred twenty-seven".

Divisors: 1 3 31 53 93 159 1643 4929 14692163 44076489 455457053 778684639 1366371159 2336053917 24139223809 72417671427