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145395051956 = 22711472061857
BaseRepresentation
bin1000011101101000111…
…0000110110110110100
3111220021211102220201022
42013122032012312310
54340232113130311
6150443224320312
713335011356520
oct2073216066664
9456254386638
10145395051956
1156730797570
1224218613098
131093151bc2b
147073d66d80
153bae6b05db
hex21da386db4

145395051956 has 24 divisors (see below), whose sum is σ = 317225568576. Its totient is φ = 56647422720.

The previous prime is 145395051937. The next prime is 145395051979. The reversal of 145395051956 is 659150593541.

145395051956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453950519562 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145395051898 and 145395051907.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 236030621 + ... + 236031236.

It is an arithmetic number, because the mean of its divisors is an integer number (13217732024).

Almost surely, 2145395051956 is an apocalyptic number.

It is an amenable number.

145395051956 is an abundant number, since it is smaller than the sum of its proper divisors (171830516620).

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

145395051956 is a wasteful number, since it uses less digits than its factorization.

145395051956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472061879 (or 472061877 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 53.

The spelling of 145395051956 in words is "one hundred forty-five billion, three hundred ninety-five million, fifty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 472061857 944123714 1888247428 3304432999 5192680427 6608865998 10385360854 13217731996 20770721708 36348762989 72697525978 145395051956