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145564515460 = 225713293272971
BaseRepresentation
bin1000011110010001010…
…0100011110010000100
3111220201122022112221101
42013210110203302010
54341104003443320
6150512120425444
713342136652310
oct2074424436204
9456648275841
10145564515460
1156808412a51
1224265318284
131095a673cb0
14708c67ab40
153bbe4d6c0a
hex21e4523c84

145564515460 has 96 divisors (see below), whose sum is σ = 377513724672. Its totient is φ = 45911370240.

The previous prime is 145564515413. The next prime is 145564515463. The reversal of 145564515460 is 64515465541.

It is a super-2 number, since 2×1455645154602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145564515460.

It is not an unprimeable number, because it can be changed into a prime (145564515463) 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, 396775 + ... + 669745.

It is an arithmetic number, because the mean of its divisors is an integer number (3932434632).

Almost surely, 2145564515460 is an apocalyptic number.

145564515460 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 145564515460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188756862336).

145564515460 is an abundant number, since it is smaller than the sum of its proper divisors (231949209212).

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

145564515460 is a wasteful number, since it uses less digits than its factorization.

145564515460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273293 (or 273291 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 145564515460 in words is "one hundred forty-five billion, five hundred sixty-four million, five hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 293 364 455 586 910 1172 1465 1820 2051 2930 3809 4102 5860 7618 8204 10255 15236 19045 20510 26663 38090 41020 53326 76180 106652 133315 266630 272971 533260 545942 1091884 1364855 1910797 2729710 3548623 3821594 5459420 7097246 7643188 9553985 14194492 17743115 19107970 24840361 35486230 38215940 49680722 70972460 79980503 99361444 124201805 159961006 248403610 319922012 399902515 496807220 559863521 799805030 1039746539 1119727042 1599610060 2079493078 2239454084 2799317605 4158986156 5198732695 5598635210 7278225773 10397465390 11197270420 14556451546 20794930780 29112903092 36391128865 72782257730 145564515460