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145263771820 = 225292099119321
BaseRepresentation
bin1000011101001001100…
…1010100000010101100
3111212221200102012020001
42013102121110002230
54340000011144240
6150422214434044
713331525454556
oct2072231240254
9455850365201
10145263771820
1156673680892
12241a0662924
131091027588b
1470607524d6
153ba2dcc89a
hex21d26540ac

145263771820 has 48 divisors (see below), whose sum is σ = 315726012000. Its totient is φ = 56074672640.

The previous prime is 145263771811. The next prime is 145263771827. The reversal of 145263771820 is 28177362541.

145263771820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452637718202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145263771827) 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, 1157760 + ... + 1277080.

It is an arithmetic number, because the mean of its divisors is an integer number (6577625250).

Almost surely, 2145263771820 is an apocalyptic number.

145263771820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145263771820 is an abundant number, since it is smaller than the sum of its proper divisors (170462240180).

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

145263771820 is a wasteful number, since it uses less digits than its factorization.

145263771820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121458 (or 121456 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 145263771820 in words is "one hundred forty-five billion, two hundred sixty-three million, seven hundred seventy-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2099 4198 8396 10495 20990 41980 60871 119321 121742 238642 243484 304355 477284 596605 608710 1193210 1217420 2386420 3460309 6920618 13841236 17301545 34603090 69206180 250454779 500909558 1001819116 1252273895 2504547790 5009095580 7263188591 14526377182 29052754364 36315942955 72631885910 145263771820