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2920041912000 = 263532321271811
BaseRepresentation
bin101010011111100000000…
…011111001011011000000
3101100011010202000112220110
4222133200003321123000
5340320221212141000
610113240532111320
7420652234502643
oct52374003713300
911304122015813
102920041912000
11a26423596814
123b1b10165540
131824882b0cb5
14a148b94ba5a
1550e54ca3850
hex2a7e00f96c0

2920041912000 has 672 divisors, whose sum is σ = 10164396662784. Its totient is φ = 738549504000.

The previous prime is 2920041911939. The next prime is 2920041912041. The reversal of 2920041912000 is 2191400292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 1612391095 + ... + 1612392905.

It is an arithmetic number, because the mean of its divisors is an integer number (15125590272).

Almost surely, 22920041912000 is an apocalyptic number.

2920041912000 is a gapful number since it is divisible by the number (20) 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 2920041912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082198331392).

2920041912000 is an abundant number, since it is smaller than the sum of its proper divisors (7244354750784).

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

2920041912000 is a wasteful number, since it uses less digits than its factorization.

2920041912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 2920041912000 in words is "two trillion, nine hundred twenty billion, forty-one million, nine hundred twelve thousand".