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93422485278720 = 2123351323741659
BaseRepresentation
bin10101001111011110011110…
…000011001001000000000000
3110020210002202121221102122000
4111033132132003021000000
544221113222212404340
6530405410334544000
725451360163403353
oct2517363603110000
9406702677842560
1093422485278720
1127849287469a04
12a589aa1368000
1340189196aa200
14190d95b16229a
15ac01eea03d30
hex54f79e0c9000

93422485278720 has 2496 divisors, whose sum is σ = 378944911699200. Its totient is φ = 21795931422720.

The previous prime is 93422485278697. The next prime is 93422485278737. The reversal of 93422485278720 is 2787258422439.

93422485278720 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 2 + 4 + 8 + 527 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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, 141764013751 + ... + 141764014409.

Almost surely, 293422485278720 is an apocalyptic number.

93422485278720 is a gapful number since it is divisible by the number (90) 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 93422485278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189472455849600).

93422485278720 is an abundant number, since it is smaller than the sum of its proper divisors (285522426420480).

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

93422485278720 is a wasteful number, since it uses less digits than its factorization.

93422485278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

It can be divided in two parts, 93422485 and 278720, that added together give a triangular number (93701205 = T13689).

The spelling of 93422485278720 in words is "ninety-three trillion, four hundred twenty-two billion, four hundred eighty-five million, two hundred seventy-eight thousand, seven hundred twenty".