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2293978986432 = 2632719101296479
BaseRepresentation
bin100001011000011011110…
…011010111011111000000
322010022011100011200211200
4201120123303113133000
5300041032110031212
64513501150541200
7324506636442120
oct41303363273700
98108140150750
102293978986432
11804964374511
12310708b07800
13138423b4a653
147d05a0b2c80
153ea11ca26dc
hex2161bcd77c0

2293978986432 has 336 divisors, whose sum is σ = 7988451993600. Its totient is φ = 614776780800.

The previous prime is 2293978986391. The next prime is 2293978986449. The reversal of 2293978986432 is 2346898793922.

2293978986432 is a `hidden beast` number, since 2 + 2 + 9 + 39 + 7 + 89 + 86 + 432 = 666.

2293978986432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7589169 + ... + 7885647.

Almost surely, 22293978986432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293978986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994225996800).

2293978986432 is an abundant number, since it is smaller than the sum of its proper divisors (5694473007168).

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

2293978986432 is a wasteful number, since it uses less digits than its factorization.

2293978986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296624 (or 296611 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 2293978986432 in words is "two trillion, two hundred ninety-three billion, nine hundred seventy-eight million, nine hundred eighty-six thousand, four hundred thirty-two".