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32973085460 = 22571723136693
BaseRepresentation
bin11110101101010110…
…010101101100010100
310011002221200021220102
4132231112111230110
51020012102213320
623051515353232
72245050413330
oct365526255424
9104087607812
1032973085460
1112a904a1157
126482752818
133156314b73
14184b2467c0
15cceb53175
hex7ad595b14

32973085460 has 48 divisors (see below), whose sum is σ = 79181913216. Its totient is φ = 11298413952.

The previous prime is 32973085451. The next prime is 32973085531. The reversal of 32973085460 is 6458037923.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 172874 + ... + 309566.

It is an arithmetic number, because the mean of its divisors is an integer number (1649623192).

Almost surely, 232973085460 is an apocalyptic number.

It is an amenable number.

32973085460 is an abundant number, since it is smaller than the sum of its proper divisors (46208827756).

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

32973085460 is a wasteful number, since it uses less digits than its factorization.

32973085460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138432 (or 138430 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 32973085460 in words is "thirty-two billion, nine hundred seventy-three million, eighty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1723 3446 6892 8615 12061 17230 24122 34460 48244 60305 120610 136693 241220 273386 546772 683465 956851 1366930 1913702 2733860 3827404 4784255 9568510 19137020 235522039 471044078 942088156 1177610195 1648654273 2355220390 3297308546 4710440780 6594617092 8243271365 16486542730 32973085460