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82029673518 = 23134332717477
BaseRepresentation
bin100110001100101011…
…0010111110000101110
321211201210022011122020
41030121112113300232
52320444044023033
6101403420331010
75632525502052
oct1143126276056
9254653264566
1082029673518
1131874680911
1213a936a3a66
13797379b670
143d82559c62
1522017936b3
hex1319597c2e

82029673518 has 64 divisors (see below), whose sum is σ = 180867574272. Its totient is φ = 24642092160.

The previous prime is 82029673483. The next prime is 82029673573. The reversal of 82029673518 is 81537692028.

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 31 ways as a sum of consecutive naturals, for example, 10967196 + ... + 10974672.

It is an arithmetic number, because the mean of its divisors is an integer number (2826055848).

Almost surely, 282029673518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82029673518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90433787136).

82029673518 is an abundant number, since it is smaller than the sum of its proper divisors (98837900754).

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

82029673518 is a wasteful number, since it uses less digits than its factorization.

82029673518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809.

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 82029673518 in words is "eighty-two billion, twenty-nine million, six hundred seventy-three thousand, five hundred eighteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3271 3354 6542 7477 9813 14954 19626 22431 42523 44862 85046 97201 127569 140653 194402 255138 281306 291603 321511 421959 583206 643022 843918 964533 1828489 1929066 3656978 4179643 5485467 8359286 10970934 12538929 24457267 25077858 48914534 73371801 146743602 317944471 635888942 953833413 1051662481 1907666826 2103324962 3154987443 6309974886 13671612253 27343224506 41014836759 82029673518