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145160250660 = 22345479187067
BaseRepresentation
bin1000011100110000111…
…0011010010100100100
3111212200110121202220000
42013030032122110210
54334242011010120
6150404035541300
713326130525605
oct2071416322444
9455613552800
10145160250660
11566201a4907
1224171a5a830
13108c499b459
147050ac5dac
153b98c7e990
hex21cc39a524

145160250660 has 120 divisors (see below), whose sum is σ = 456326196480. Its totient is φ = 38628380736.

The previous prime is 145160250649. The next prime is 145160250673. The reversal of 145160250660 is 66052061541.

145160250660 is a `hidden beast` number, since 1 + 45 + 1 + 602 + 5 + 0 + 6 + 6 + 0 = 666.

145160250660 is digitally balanced in base 3, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 682447 + ... + 869513.

It is an arithmetic number, because the mean of its divisors is an integer number (3802718304).

Almost surely, 2145160250660 is an apocalyptic number.

145160250660 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 145160250660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228163098240).

145160250660 is an abundant number, since it is smaller than the sum of its proper divisors (311165945820).

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

145160250660 is a wasteful number, since it uses less digits than its factorization.

145160250660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187567 (or 187556 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 145160250660 in words is "one hundred forty-five billion, one hundred sixty million, two hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 479 540 810 958 1437 1620 1916 2395 2874 4311 4790 5748 7185 8622 9580 12933 14370 17244 21555 25866 28740 38799 43110 51732 64665 77598 86220 129330 155196 187067 193995 258660 374134 387990 561201 748268 775980 935335 1122402 1683603 1870670 2244804 2806005 3367206 3741340 5050809 5612010 6734412 8418015 10101618 11224020 15152427 16836030 20203236 25254045 30304854 33672060 50508090 60609708 75762135 89605093 101016180 151524270 179210186 268815279 303048540 358420372 448025465 537630558 806445837 896050930 1075261116 1344076395 1612891674 1792101860 2419337511 2688152790 3225783348 4032229185 4838675022 5376305580 7258012533 8064458370 9677350044 12096687555 14516025066 16128916740 24193375110 29032050132 36290062665 48386750220 72580125330 145160250660