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164420661147505 = 5717938816762257
BaseRepresentation
bin100101011000101000101011…
…000110011111011101110001
3210120011110110120120011022021
4211120220223012133131301
5133022332003223210010
61341405450423311441
746430000155064560
oct4530505306373561
9716143416504267
10164420661147505
1148431457864164
12165359aa8ab581
137098a56790a59
142c86006a75bd7
151401e5aa3c8da
hex958a2b19f771

164420661147505 has 32 divisors (see below), whose sum is σ = 226809379203840. Its totient is φ = 112086827612160.

The previous prime is 164420661147493. The next prime is 164420661147517. The reversal of 164420661147505 is 505741166024461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164420661147493) and next prime (164420661147517).

It is not a de Polignac number, because 164420661147505 - 241 = 162221637891953 is a prime.

It is a super-3 number, since 3×1644206611475053 (a number of 44 digits) contains 333 as substring.

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, 20933337 + ... + 27695593.

It is an arithmetic number, because the mean of its divisors is an integer number (7087793100120).

Almost surely, 2164420661147505 is an apocalyptic number.

It is an amenable number.

164420661147505 is a deficient number, since it is larger than the sum of its proper divisors (62388718056335).

164420661147505 is a wasteful number, since it uses less digits than its factorization.

164420661147505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766329.

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 164420661147505 in words is "one hundred sixty-four trillion, four hundred twenty billion, six hundred sixty-one million, one hundred forty-seven thousand, five hundred five".

Divisors: 1 5 7 35 179 895 1253 3881 6265 19405 27167 135835 694699 3473495 4862893 6762257 24314465 33811285 47335799 236678995 1210444003 6052220015 8473108021 26244319417 42365540105 131221597085 183710235919 918551179595 4697733175643 23488665878215 32884132229501 164420661147505