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13223142606960 = 2435511134756663
BaseRepresentation
bin1100000001101100000010…
…1101111100100001110000
31201211010020112200110100000
43000123000231330201300
53213121444001410320
644042343341030000
72533224541433616
oct300330055744160
951733215613300
1013223142606960
1142389a3303050
121596897855300
1374bc24777560
1433a0099176b6
1517de6e6d9c90
hexc06c0b7c870

13223142606960 has 480 divisors, whose sum is σ = 54103590148608. Its totient is φ = 2959024296960.

The previous prime is 13223142606959. The next prime is 13223142606979. The reversal of 13223142606960 is 6960624132231.

13223142606960 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 31 + 4 + 2 + 606 + 9 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 401589 + ... + 5158251.

Almost surely, 213223142606960 is an apocalyptic number.

13223142606960 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 13223142606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051795074304).

13223142606960 is an abundant number, since it is smaller than the sum of its proper divisors (40880447541648).

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

13223142606960 is a wasteful number, since it uses less digits than its factorization.

13223142606960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756715 (or 4756697 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13223142606960 in words is "thirteen trillion, two hundred twenty-three billion, one hundred forty-two million, six hundred six thousand, nine hundred sixty".