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146253561376 = 25131051334511
BaseRepresentation
bin1000100000110101100…
…1000011111000100000
3111222111122212201020111
42020031121003320200
54344011402431001
6151104333221104
713365204521446
oct2101531037040
9458448781214
10146253561376
115703136038a
1224418031794
1310a3a349480
147115da2b96
153c0ec43851
hex220d643e20

146253561376 has 48 divisors (see below), whose sum is σ = 310381642368. Its totient is φ = 67437216000.

The previous prime is 146253561343. The next prime is 146253561379. The reversal of 146253561376 is 673165352641.

It is not an unprimeable number, because it can be changed into a prime (146253561379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269961 + ... + 604471.

It is an arithmetic number, because the mean of its divisors is an integer number (6466284216).

Almost surely, 2146253561376 is an apocalyptic number.

146253561376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146253561376 is an abundant number, since it is smaller than the sum of its proper divisors (164128080992).

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

146253561376 is a wasteful number, since it uses less digits than its factorization.

146253561376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335585 (or 335577 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The spelling of 146253561376 in words is "one hundred forty-six billion, two hundred fifty-three million, five hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1051 2102 4204 8408 13663 16816 27326 33632 54652 109304 218608 334511 437216 669022 1338044 2676088 4348643 5352176 8697286 10704352 17394572 34789144 69578288 139156576 351571061 703142122 1406284244 2812568488 4570423793 5625136976 9140847586 11250273952 18281695172 36563390344 73126780688 146253561376