Search a number
-
+
145772850345760 = 25511217573806843
BaseRepresentation
bin100001001001010001100010…
…111101100111011100100000
3201010010202012120122001221101
4201021101202331213130200
5123101320244142031020
61234011042320404144
742463512060430321
oct4111214275473440
9633122176561841
10145772850345760
11424a1a11803420
1214423908776654
136345422a63061
1427dd62d35c448
1511cbd4675800a
hex849462f67720

145772850345760 has 96 divisors (see below), whose sum is σ = 375713758107072. Its totient is φ = 53005858913280.

The previous prime is 145772850345721. The next prime is 145772850345763. The reversal of 145772850345760 is 67543058277541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145772850345692 and 145772850345701.

It is not an unprimeable number, because it can be changed into a prime (145772850345763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36388899 + ... + 40195741.

It is an arithmetic number, because the mean of its divisors is an integer number (3913684980282).

Almost surely, 2145772850345760 is an apocalyptic number.

145772850345760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145772850345760 is an abundant number, since it is smaller than the sum of its proper divisors (229940907761312).

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

145772850345760 is a wasteful number, since it uses less digits than its factorization.

145772850345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828626 (or 3828618 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 64.

The spelling of 145772850345760 in words is "one hundred forty-five trillion, seven hundred seventy-two billion, eight hundred fifty million, three hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 21757 43514 87028 108785 174056 217570 239327 348112 435140 478654 696224 870280 957308 1196635 1740560 1914616 2393270 3481120 3806843 3829232 4786540 7613686 7658464 9573080 15227372 19034215 19146160 30454744 38068430 38292320 41875273 60909488 76136860 83750546 121818976 152273720 167501092 209376365 304547440 335002184 418752730 609094880 670004368 837505460 1340008736 1675010920 3350021840 6700043680 82825483151 165650966302 331301932604 414127415755 662603865208 828254831510 911080314661 1325207730416 1656509663020 1822160629322 2650415460832 3313019326040 3644321258644 4555401573305 6626038652080 7288642517288 9110803146610 13252077304160 14577285034576 18221606293220 29154570069152 36443212586440 72886425172880 145772850345760