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164460757006 = 271321314611151
BaseRepresentation
bin1001100100101010100…
…0000000000000001110
3120201111112221002020101
42121022220000000032
510143303423211011
6203315140441314
714611330240450
oct2311250000016
9521445832211
10164460757006
116382489a9a7
1227a596a923a
131267c483300
147d621262d0
1544283c82c1
hex264aa0000e

164460757006 has 96 divisors (see below), whose sum is σ = 308553670656. Its totient is φ = 64368720000.

The previous prime is 164460757001. The next prime is 164460757007. The reversal of 164460757006 is 600757064461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164460757001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142884531 + ... + 142885681.

It is an arithmetic number, because the mean of its divisors is an integer number (3214100736).

Almost surely, 2164460757006 is an apocalyptic number.

164460757006 is a deficient number, since it is larger than the sum of its proper divisors (144092913650).

164460757006 is a wasteful number, since it uses less digits than its factorization.

164460757006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 164460757006 in words is "one hundred sixty-four billion, four hundred sixty million, seven hundred fifty-seven thousand, six".

Divisors: 1 2 7 13 14 26 91 131 169 182 262 338 461 917 922 1151 1183 1703 1834 2302 2366 3227 3406 5993 6454 8057 11921 11986 14963 16114 22139 23842 29926 41951 44278 60391 77909 83902 104741 120782 150781 154973 155818 194519 209482 301562 309946 389038 422737 530611 545363 785083 845474 1055467 1061222 1090726 1361633 1570166 1960153 2110934 2723266 3714277 3920306 5495581 6897943 7428554 10206079 10991162 13721071 13795886 20412158 25481989 27442142 48285601 50963978 69510041 71442553 89673259 96571202 139020082 142885106 178373923 179346518 356747846 486570287 627712813 903630533 973140574 1255425626 1807261066 6325413731 11747196929 12650827462 23494393858 82230378503 164460757006