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67331817972 = 2234207814253
BaseRepresentation
bin111110101101010010…
…100000000111110100
320102210110200202020000
4332231102200013310
52100343421133342
650533134311300
74602355003206
oct765522400764
9212713622200
1067331817972
1126612068461
1211071358530
136470721513
14338a506776
151b4126344c
hexfad4a01f4

67331817972 has 30 divisors (see below), whose sum is σ = 176018673138. Its totient is φ = 22443939216.

The previous prime is 67331817961. The next prime is 67331818049. The reversal of 67331817972 is 27971813376.

67331817972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54402763536 + 12929054436 = 233244^2 + 113706^2 .

It is a super-2 number, since 2×673318179722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 103906803 + ... + 103907450.

Almost surely, 267331817972 is an apocalyptic number.

It is an amenable number.

67331817972 is an abundant number, since it is smaller than the sum of its proper divisors (108686855166).

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

67331817972 is a wasteful number, since it uses less digits than its factorization.

67331817972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207814269 (or 207814258 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 67331817972 in words is "sixty-seven billion, three hundred thirty-one million, eight hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 207814253 415628506 623442759 831257012 1246885518 1870328277 2493771036 3740656554 5610984831 7481313108 11221969662 16832954493 22443939324 33665908986 67331817972