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1146324385320 = 23352910922713313
BaseRepresentation
bin10000101011100110010…
…000011111111000101000
311001120212022120100220120
4100223212100133320220
5122240133020312240
62234340353523240
7145550662335342
oct20534620377050
94046768510816
101146324385320
1140217625a364
121661b9873520
13841371b186a
143d6a79a4292
151ec427e9ad0
hex10ae641fe28

1146324385320 has 256 divisors, whose sum is σ = 3606283296000. Its totient is φ = 291127689216.

The previous prime is 1146324385301. The next prime is 1146324385321. The reversal of 1146324385320 is 235834236411.

It is not an unprimeable number, because it can be changed into a prime (1146324385321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 86098984 + ... + 86112296.

It is an arithmetic number, because the mean of its divisors is an integer number (14087044125).

Almost surely, 21146324385320 is an apocalyptic number.

1146324385320 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 1146324385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803141648000).

1146324385320 is an abundant number, since it is smaller than the sum of its proper divisors (2459958910680).

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

1146324385320 is a wasteful number, since it uses less digits than its factorization.

1146324385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1146324385320 in words is "one trillion, one hundred forty-six billion, three hundred twenty-four million, three hundred eighty-five thousand, three hundred twenty".