Search a number
-
+
164712114171024 = 24372317220916911
BaseRepresentation
bin100101011100111000000111…
…000011100010110010010000
3210121012022202102211210110220
4211130320013003202302100
5133042120402211433044
61342151411201153040
746460025510650400
oct4534700703426220
9717168672753426
10164712114171024
1148534019460532
121658238992b780
1370ba393957314
142c96174a0a800
151409817ba9019
hex95ce070e2c90

164712114171024 has 120 divisors (see below), whose sum is σ = 496538153417088. Its totient is φ = 46912147672320.

The previous prime is 164712114170971. The next prime is 164712114171029. The reversal of 164712114171024 is 420171411217461.

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

It is not an unprimeable number, because it can be changed into a prime (164712114171029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109712872 + ... + 111204039.

Almost surely, 2164712114171024 is an apocalyptic number.

164712114171024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164712114171024 is an abundant number, since it is smaller than the sum of its proper divisors (331826039246064).

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

164712114171024 is a wasteful number, since it uses less digits than its factorization.

164712114171024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220917253 (or 220917240 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

Adding to 164712114171024 its reverse (420171411217461), we get a palindrome (584883525388485).

The spelling of 164712114171024 in words is "one hundred sixty-four trillion, seven hundred twelve billion, one hundred fourteen million, one hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 317 336 392 588 634 784 951 1176 1268 1902 2219 2352 2536 3804 4438 5072 6657 7608 8876 13314 15216 15533 17752 26628 31066 35504 46599 53256 62132 93198 106512 124264 186396 248528 372792 745584 220916911 441833822 662750733 883667644 1325501466 1546418377 1767335288 2651002932 3092836754 3534670576 4639255131 5302005864 6185673508 9278510262 10604011728 10824928639 12371347016 18557020524 21649857278 24742694032 32474785917 37114041048 43299714556 64949571834 70030660787 74228082096 86599429112 129899143668 140061321574 173198858224 210091982361 259798287336 280122643148 420183964722 490214625509 519596574672 560245286296 840367929444 980429251018 1120490572592 1470643876527 1680735858888 1960858502036 2941287753054 3361471717776 3431502378563 3921717004072 5882575506108 6863004757126 7843434008144 10294507135689 11765151012216 13726009514252 20589014271378 23530302024432 27452019028504 41178028542756 54904038057008 82356057085512 164712114171024