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2961120534750 = 2325373143141041
BaseRepresentation
bin101011000101110000100…
…010011010000011011110
3101111002011120200210122200
4223011300202122003132
5342003333324103000
610144153041352330
7423635220153330
oct53056042320336
911432146623580
102961120534750
11a41893389014
123b9a753386a6
1318630396ac71
14a3467491450
155205b2ec500
hex2b17089a0de

2961120534750 has 384 divisors, whose sum is σ = 9665633083392. Its totient is φ = 639757440000.

The previous prime is 2961120534731. The next prime is 2961120534803. The reversal of 2961120534750 is 574350211692.

2961120534750 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 120 + 53 + 475 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2961120534696 and 2961120534705.

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 191 ways as a sum of consecutive naturals, for example, 20924230 + ... + 21065270.

It is an arithmetic number, because the mean of its divisors is an integer number (25170919488).

Almost surely, 22961120534750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961120534750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832816541696).

2961120534750 is an abundant number, since it is smaller than the sum of its proper divisors (6704512548642).

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

2961120534750 is a wasteful number, since it uses less digits than its factorization.

2961120534750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141145 (or 141132 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2961120534750 in words is "two trillion, nine hundred sixty-one billion, one hundred twenty million, five hundred thirty-four thousand, seven hundred fifty".