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146255574780 = 223457471372003
BaseRepresentation
bin1000100000110110000…
…0101111011011111100
3111222111210200000010000
42020031200233123330
54344012411343110
6151104444314300
713365230605440
oct2101540573374
9458453600100
10146255574780
1157032506057
1224418842990
1310a3a8a2a33
147116368820
153c0eee01c0
hex220d82f6fc

146255574780 has 480 divisors, whose sum is σ = 539687909376. Its totient is φ = 32463535104.

The previous prime is 146255574779. The next prime is 146255574793. The reversal of 146255574780 is 87475552641.

It is a happy number.

146255574780 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 5 + 557 + 4 + 7 + 80 = 666.

146255574780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 73017259 + ... + 73019261.

Almost surely, 2146255574780 is an apocalyptic number.

146255574780 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 146255574780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269843954688).

146255574780 is an abundant number, since it is smaller than the sum of its proper divisors (393432334596).

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

146255574780 is a wasteful number, since it uses less digits than its factorization.

146255574780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 146255574780 in words is "one hundred forty-six billion, two hundred fifty-five million, five hundred seventy-four thousand, seven hundred eighty".