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2381266896984 = 23321716314338329
BaseRepresentation
bin100010101001101110100…
…100010100100001011000
322102122110120202222122200
4202221232210110201120
5303003313311200414
65021534445450200
7334020004441263
oct42515644244130
98378416688580
102381266896984
118389870a1668
12325609570960
13143724b12571
148337ab11cda
1541e1eeac109
hex22a6e914858

2381266896984 has 192 divisors, whose sum is σ = 6876146440800. Its totient is φ = 741873696768.

The previous prime is 2381266896949. The next prime is 2381266897007. The reversal of 2381266896984 is 4896986621832.

It is a happy number.

2381266896984 is a `hidden beast` number, since 2 + 381 + 26 + 68 + 96 + 9 + 84 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285896532 + ... + 285904860.

Almost surely, 22381266896984 is an apocalyptic number.

2381266896984 is a gapful number since it is divisible by the number (24) 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 2381266896984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438073220400).

2381266896984 is an abundant number, since it is smaller than the sum of its proper divisors (4494879543816).

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

2381266896984 is a wasteful number, since it uses less digits than its factorization.

2381266896984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954 (or 9947 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 2381266896984 in words is "two trillion, three hundred eighty-one billion, two hundred sixty-six million, eight hundred ninety-six thousand, nine hundred eighty-four".