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83067141132 = 22326144938419
BaseRepresentation
bin100110101011100101…
…1111111110000001100
321221102002110222122200
41031113023333300030
52330110142004012
6102054401041500
76000324023013
oct1152713776014
9257362428580
1083067141132
1132257265668
1214123026290
137aaa6c6821
14404025ba7a
1522628c63dc
hex13572ffc0c

83067141132 has 72 divisors (see below), whose sum is σ = 213490346160. Its totient is φ = 27225832320.

The previous prime is 83067141127. The next prime is 83067141137. The reversal of 83067141132 is 23114176038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83067141127) and next prime (83067141137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83067141137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9862419 + ... + 9870837.

Almost surely, 283067141132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83067141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745173080).

83067141132 is an abundant number, since it is smaller than the sum of its proper divisors (130423205028).

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

83067141132 is a wasteful number, since it uses less digits than its factorization.

83067141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 83067141132 in words is "eighty-three billion, sixty-seven million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4493 8419 8986 13479 16838 17972 25257 26958 33676 40437 50514 53916 75771 80874 101028 151542 161748 274073 303084 513559 548146 822219 1027118 1096292 1540677 1644438 2054236 2466657 3081354 3288876 4622031 4933314 6162708 9244062 9866628 18488124 37826567 75653134 113479701 151306268 226959402 340439103 453918804 680878206 1361756412 2307420587 4614841174 6922261761 9229682348 13844523522 20766785283 27689047044 41533570566 83067141132