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1242556096320 = 2634572111931151
BaseRepresentation
bin10010000101001110000…
…111010101111101000000
311101210020212111210110000
4102011032013111331000
5130324223330040240
62350453345240000
7155525461360500
oct22051607257500
94353225453400
101242556096320
11439a68583130
12180995633000
13902320aa8a6
14441d6389a00
15224c5cce430
hex1214e1d5f40

1242556096320 has 3360 divisors, whose sum is σ = 6135076823040. Its totient is φ = 235146240000.

The previous prime is 1242556096303. The next prime is 1242556096367. The reversal of 1242556096320 is 236906552421.

1242556096320 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 5 + 5 + 6 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8228848245 + ... + 8228848395.

Almost surely, 21242556096320 is an apocalyptic number.

1242556096320 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 1242556096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067538411520).

1242556096320 is an abundant number, since it is smaller than the sum of its proper divisors (4892520726720).

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

1242556096320 is a wasteful number, since it uses less digits than its factorization.

1242556096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1242556096320 in words is "one trillion, two hundred forty-two billion, five hundred fifty-six million, ninety-six thousand, three hundred twenty".