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145573375540 = 22531211536569
BaseRepresentation
bin1000011110010011011…
…0010110111000110100
3111220202020222200200111
42013210312112320310
54341113241004130
6150513034352404
713342305163405
oct2074466267064
9456666880614
10145573375540
115681241472a
122426828b704
131095c456a48
14708d9059ac
153bc018702a
hex21e4d96e34

145573375540 has 72 divisors (see below), whose sum is σ = 316205716680. Its totient is φ = 56293539840.

The previous prime is 145573375513. The next prime is 145573375547. The reversal of 145573375540 is 45573375541.

145573375540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61596290596 + 83977084944 = 248186^2 + 289788^2 .

It is a super-2 number, since 2×1455733755402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145573375547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22157376 + ... + 22163944.

It is an arithmetic number, because the mean of its divisors is an integer number (4391746065).

Almost surely, 2145573375540 is an apocalyptic number.

145573375540 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 145573375540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158102858340).

145573375540 is an abundant number, since it is smaller than the sum of its proper divisors (170632341140).

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

145573375540 is a wasteful number, since it uses less digits than its factorization.

145573375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 49.

Subtracting from 145573375540 its reverse (45573375541), we obtain a palindrome (99999999999).

The spelling of 145573375540 in words is "one hundred forty-five billion, five hundred seventy-three million, three hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1153 1922 2306 3844 4612 4805 5765 6569 9610 11530 13138 19220 23060 26276 32845 35743 65690 71486 131380 142972 178715 203639 357430 407278 714860 814556 1018195 1108033 2036390 2216066 4072780 4432132 5540165 6312809 7574057 11080330 12625618 15148114 22160660 25251236 30296228 31564045 37870285 63128090 75740570 126256180 151481140 234795767 469591534 939183068 1173978835 2347957670 4695915340 7278668777 14557337554 29114675108 36393343885 72786687770 145573375540