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145256757150 = 235221111933847
BaseRepresentation
bin1000011101000111111…
…0100011011110011110
3111212221012012210220110
42013101332203132132
54334441212212100
6150421404230450
713331412030621
oct2072176433636
9455835183813
10145256757150
115666a71a63a
122419a23b426
131090b98aa9b
14705d847db8
153ba2494250
hex21d1fa379e

145256757150 has 96 divisors (see below), whose sum is σ = 362341594368. Its totient is φ = 38509228800.

The previous prime is 145256757119. The next prime is 145256757157. The reversal of 145256757150 is 51757652541.

It is a super-2 number, since 2×1452567571502 (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 145256757150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145256757157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37756527 + ... + 37760373.

It is an arithmetic number, because the mean of its divisors is an integer number (3774391608).

Almost surely, 2145256757150 is an apocalyptic number.

145256757150 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 145256757150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181170797184).

145256757150 is an abundant number, since it is smaller than the sum of its proper divisors (217084837218).

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

145256757150 is a wasteful number, since it uses less digits than its factorization.

145256757150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

The spelling of 145256757150 in words is "one hundred forty-five billion, two hundred fifty-six million, seven hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 211 422 633 1055 1193 1266 2110 2386 3165 3579 3847 5275 5965 6330 7158 7694 10550 11541 11930 15825 17895 19235 23082 29825 31650 35790 38470 57705 59650 89475 96175 115410 178950 192350 251723 288525 503446 577050 755169 811717 1258615 1510338 1623434 2435151 2517230 3775845 4058585 4589471 4870302 6293075 7551690 8117170 9178942 12175755 12586150 13768413 18879225 20292925 22947355 24351510 27536826 37758450 40585850 45894710 60878775 68842065 114736775 121757550 137684130 229473550 344210325 688420650 968378381 1936756762 2905135143 4841891905 5810270286 9683783810 14525675715 24209459525 29051351430 48418919050 72628378575 145256757150