Search a number
-
+
82367503419012 = 22377313432404341
BaseRepresentation
bin10010101110100110101101…
…110010000100011010000100
3101210122020220221012212221020
4102232212231302010122010
541244002121333402022
6451103035251151140
723230566343131660
oct2256465562043204
9353566827185836
1082367503419012
1124276953400019
1292a345a2a54b0
1336c62b7369676
14164a87379b8a0
1597c87b43335c
hex4ae9adc84684

82367503419012 has 48 divisors (see below), whose sum is σ = 222655534372992. Its totient is φ = 23211194699520.

The previous prime is 82367503419001. The next prime is 82367503419143. The reversal of 82367503419012 is 21091430576328.

It is a super-2 number, since 2×823675034190122 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6716196039 + ... + 6716208302.

It is an arithmetic number, because the mean of its divisors is an integer number (4638656966104).

It is a 1-persistent number, because it is pandigital, but 2⋅82367503419012 = 164735006838024 is not.

Almost surely, 282367503419012 is an apocalyptic number.

It is an amenable number.

82367503419012 is an abundant number, since it is smaller than the sum of its proper divisors (140288030953980).

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

82367503419012 is a wasteful number, since it uses less digits than its factorization.

82367503419012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432404428 (or 13432404426 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82367503419012 in words is "eighty-two trillion, three hundred sixty-seven billion, five hundred three million, four hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 13432404341 26864808682 40297213023 53729617364 80594426046 94026830387 161188852092 188053660774 282080491161 376107321548 564160982322 980565516893 1128321964644 1961131033786 2941696550679 3922262067572 5883393101358 6863958618251 11766786202716 13727917236502 20591875854753 27455834473004 41183751709506 82367503419012