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166240826052 = 22373124994127
BaseRepresentation
bin1001101011010010111…
…0011011001011000100
3120220002121102221220120
42122310232123023010
510210430122413202
6204211525501540
715003413464230
oct2326456331304
9526077387816
10166240826052
1164558681144
12282758718b0
13128a41b54c2
1480906d15c0
1544ce7e60bc
hex26b4b9b2c4

166240826052 has 144 divisors (see below), whose sum is σ = 459099648000. Its totient is φ = 45861975360.

The previous prime is 166240826029. The next prime is 166240826099. The reversal of 166240826052 is 250628042661.

It is a happy number.

166240826052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 166240825995 and 166240826013.

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 47 ways as a sum of consecutive naturals, for example, 40279213 + ... + 40283339.

It is an arithmetic number, because the mean of its divisors is an integer number (3188192000).

Almost surely, 2166240826052 is an apocalyptic number.

166240826052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166240826052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229549824000).

166240826052 is an abundant number, since it is smaller than the sum of its proper divisors (292858821948).

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

166240826052 is a wasteful number, since it uses less digits than its factorization.

166240826052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 166240826052 in words is "one hundred sixty-six billion, two hundred forty million, eight hundred twenty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 499 651 868 961 998 1302 1497 1922 1996 2604 2883 2994 3493 3844 4127 5766 5988 6727 6986 8254 10479 11532 12381 13454 13972 15469 16508 20181 20958 24762 26908 28889 30938 40362 41916 46407 49524 57778 61876 80724 86667 92814 108283 115556 127937 173334 185628 216566 255874 324849 346668 383811 433132 479539 511748 649698 767622 895559 959078 1299396 1438617 1535244 1791118 1918156 2059373 2686677 2877234 3356773 3582236 3966047 4118746 5373354 5754468 6178119 6713546 7932094 8237492 10070319 10746708 11898141 12356238 13427092 14415611 15864188 20140638 23796282 24712476 27762329 28831222 40281276 43246833 47592564 55524658 57662444 63840563 83286987 86493666 111049316 127681126 166573974 172987332 191521689 255362252 333147948 383043378 446883941 766086756 893767882 1340651823 1787535764 1979057453 2681303646 3958114906 5362607292 5937172359 7916229812 11874344718 13853402171 23748689436 27706804342 41560206513 55413608684 83120413026 166240826052