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82999155168 = 253461524939
BaseRepresentation
bin100110101001100100…
…0101001100111100000
321221020100112221110000
41031103020221213200
52324440240431133
6102043531540000
75665540115136
oct1152310514740
9257210487400
1082999155168
113222194a816
12141042ba600
137a995b1947
144035201756
15225b947413
hex13532299e0

82999155168 has 120 divisors (see below), whose sum is σ = 248100292440. Its totient is φ = 27212785920.

The previous prime is 82999155167. The next prime is 82999155181. The reversal of 82999155168 is 86155199928.

82999155168 is a `hidden beast` number, since 8 + 29 + 9 + 91 + 5 + 516 + 8 = 666.

It is a super-2 number, since 2×829991551682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82999155163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104358 + ... + 420581.

It is an arithmetic number, because the mean of its divisors is an integer number (2067502437).

Almost surely, 282999155168 is an apocalyptic number.

It is an amenable number.

82999155168 is an abundant number, since it is smaller than the sum of its proper divisors (165101137272).

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

82999155168 is a wasteful number, since it uses less digits than its factorization.

82999155168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525022 (or 525005 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 82999155168 in words is "eighty-two billion, nine hundred ninety-nine million, one hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 732 864 976 1098 1296 1464 1647 1952 2196 2592 2928 3294 4392 4941 5856 6588 8784 9882 13176 17568 19764 26352 39528 52704 79056 158112 524939 1049878 1574817 2099756 3149634 4199512 4724451 6299268 8399024 9448902 12598536 14173353 16798048 18897804 25197072 28346706 32021279 37795608 42520059 50394144 56693412 64042558 75591216 85040118 96063837 113386824 128085116 151182432 170080236 192127674 226773648 256170232 288191511 340160472 384255348 453547296 512340464 576383022 680320944 768510696 864574533 1024680928 1152766044 1360641888 1537021392 1729149066 2305532088 2593723599 3074042784 3458298132 4611064176 5187447198 6916596264 9222128352 10374894396 13833192528 20749788792 27666385056 41499577584 82999155168