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82149941202 = 23723215339499
BaseRepresentation
bin100110010000010000…
…1001001111111010010
321212001011121101212220
41030200201021333102
52321220341104302
6101423354201510
75635515656520
oct1144041117722
9255034541786
1082149941202
113192655579a
1213b07a23296
13799268a384
143d94505310
15220c0ed4bc
hex1320849fd2

82149941202 has 64 divisors (see below), whose sum is σ = 196031232000. Its totient is φ = 22439919744.

The previous prime is 82149941191. The next prime is 82149941213. The reversal of 82149941202 is 20214994128.

It is an interprime number because it is at equal distance from previous prime (82149941191) and next prime (82149941213).

It is a super-2 number, since 2×821499412022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060049 + ... + 2099547.

It is an arithmetic number, because the mean of its divisors is an integer number (3062988000).

Almost surely, 282149941202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82149941202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98015616000).

82149941202 is an abundant number, since it is smaller than the sum of its proper divisors (113881290798).

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

82149941202 is a wasteful number, since it uses less digits than its factorization.

82149941202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41687.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 82149941202 in words is "eighty-two billion, one hundred forty-nine million, nine hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 2153 4306 6459 12918 15071 30142 39499 45213 49519 78998 90426 99038 118497 148557 236994 276493 297114 346633 552986 693266 829479 908477 1039899 1658958 1816954 2079798 2725431 5450862 6359339 12718678 19078017 38156034 85041347 170082694 255124041 510248082 595289429 1190578858 1785868287 1955950981 3571736574 3911901962 5867852943 11735705886 13691656867 27383313734 41074970601 82149941202