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82138238504 = 23737193205399
BaseRepresentation
bin100110001111111010…
…0100000111000101000
321212000100120211210122
41030133310200320220
52321204342113004
6101422255302412
75635314336050
oct1143764407050
9255010524718
1082138238504
113191a992343
1213b03b1aa08
1379901207ba
143d92b3a560
15220b08acbe
hex131fd20e28

82138238504 has 64 divisors (see below), whose sum is σ = 181705056000. Its totient is φ = 34073063424.

The previous prime is 82138238491. The next prime is 82138238519. The reversal of 82138238504 is 40583283128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297197 + ... + 502595.

It is an arithmetic number, because the mean of its divisors is an integer number (2839141500).

Almost surely, 282138238504 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 82138238504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90852528000).

82138238504 is an abundant number, since it is smaller than the sum of its proper divisors (99566817496).

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

82138238504 is a wasteful number, since it uses less digits than its factorization.

82138238504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205642 (or 205638 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 82138238504 in words is "eighty-two billion, one hundred thirty-eight million, two hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 193 259 296 386 518 772 1036 1351 1544 2072 2702 5404 7141 10808 14282 28564 49987 57128 99974 199948 205399 399896 410798 821596 1437793 1643192 2875586 5751172 7599763 11502344 15199526 30399052 39642007 53198341 60798104 79284014 106396682 158568028 212793364 277494049 317136056 425586728 554988098 1109976196 1466754259 2219952392 2933508518 5867017036 10267279813 11734034072 20534559626 41069119252 82138238504