Search a number
-
+
145797162450 = 23523726579887
BaseRepresentation
bin1000011111001000110…
…0000010010111010010
3111221022212002020121120
42013302030002113102
54342043033144300
6150551151103110
713350663301362
oct2076214022722
9457285066546
10145797162450
1156917774095
122430b211a96
131099691c034
1470b151a9a2
153bd4b3e3a0
hex21f23025d2

145797162450 has 96 divisors (see below), whose sum is σ = 371526649344. Its totient is φ = 37810391040.

The previous prime is 145797162389. The next prime is 145797162481. The reversal of 145797162450 is 54261797541.

It is a junction number, because it is equal to n+sod(n) for n = 145797162393 and 145797162402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14741407 + ... + 14751293.

It is an arithmetic number, because the mean of its divisors is an integer number (3870069264).

Almost surely, 2145797162450 is an apocalyptic number.

145797162450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145797162450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185763324672).

145797162450 is an abundant number, since it is smaller than the sum of its proper divisors (225729486894).

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

145797162450 is a wasteful number, since it uses less digits than its factorization.

145797162450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 145797162450 in words is "one hundred forty-five billion, seven hundred ninety-seven million, one hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2657 2775 5314 5550 7971 9887 13285 15942 19774 26570 29661 39855 49435 59322 66425 79710 98309 98870 132850 148305 196618 199275 247175 294927 296610 365819 398550 491545 494350 589854 731638 741525 983090 1097457 1474635 1483050 1829095 2194914 2457725 2949270 3658190 4915450 5487285 7373175 9145475 10974570 14746350 18290950 26269759 27436425 52539518 54872850 78809277 131348795 157618554 262697590 394046385 656743975 788092770 971981083 1313487950 1943962166 1970231925 2915943249 3940463850 4859905415 5831886498 9719810830 14579716245 24299527075 29159432490 48599054150 72898581225 145797162450