Search a number
-
+
145251376660 = 225135989106391
BaseRepresentation
bin1000011101000110101…
…0000001111000010100
3111212220211002110021001
42013101222001320110
54334433323023120
6150421053033044
713331315221225
oct2072152017024
9455824073231
10145251376660
1156667685155
1224198485784
131090a825a70
14705cc4724c
153ba1c7ee0a
hex21d1a81e14

145251376660 has 96 divisors (see below), whose sum is σ = 337815878400. Its totient is φ = 52129397760.

The previous prime is 145251376651. The next prime is 145251376661. The reversal of 145251376660 is 66673152541.

It is a self number, because there is not a number n which added to its sum of digits gives 145251376660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145251376661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312065 + ... + 1418455.

It is an arithmetic number, because the mean of its divisors is an integer number (3518915400).

Almost surely, 2145251376660 is an apocalyptic number.

145251376660 is a gapful number since it is divisible by the number (10) 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 145251376660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907939200).

145251376660 is an abundant number, since it is smaller than the sum of its proper divisors (192564501740).

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

145251376660 is a wasteful number, since it uses less digits than its factorization.

145251376660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106561 (or 106559 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 145251376660 in words is "one hundred forty-five billion, two hundred fifty-one million, three hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 89 118 130 178 236 260 295 356 445 590 767 890 1157 1180 1534 1780 2314 3068 3835 4628 5251 5785 7670 10502 11570 15340 21004 23140 26255 52510 68263 105020 106391 136526 212782 273052 341315 425564 531955 682630 1063910 1365260 1383083 2127820 2766166 5532332 6277069 6915415 9468799 12554138 13830830 18937598 25108276 27661660 31385345 37875196 47343995 62770690 81601897 94687990 123094387 125541380 163203794 189375980 246188774 326407588 408009485 492377548 558659141 615471935 816018970 1117318282 1230943870 1632037940 2234636564 2461887740 2793295705 5586591410 7262568833 11173182820 14525137666 29050275332 36312844165 72625688330 145251376660