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84213133131248 = 2411478483710973
BaseRepresentation
bin10011001001011101100101…
…111000101011110111110000
3102001011200211001010121020222
4103021131211320223313300
542014221444040144443
6455034551305152212
723511124641630032
oct2311354570536760
9361150731117228
1084213133131248
1124918653247890
12954109ba8b668
1337cb358ac25a4
1416b1d1a2b7c52
159b089bd16468
hex4c9765e2bdf0

84213133131248 has 20 divisors (see below), whose sum is σ = 177995940482328. Its totient is φ = 38278696877760.

The previous prime is 84213133131241. The next prime is 84213133131271.

It is a happy number.

84213133131248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 84213133131199 and 84213133131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84213133131241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239241855311 + ... + 239241855662.

Almost surely, 284213133131248 is an apocalyptic number.

84213133131248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84213133131248 is an abundant number, since it is smaller than the sum of its proper divisors (93782807351080).

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

84213133131248 is a wasteful number, since it uses less digits than its factorization.

84213133131248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478483710992 (or 478483710986 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 84213133131248 in words is "eighty-four trillion, two hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 478483710973 956967421946 1913934843892 3827869687784 5263320820703 7655739375568 10526641641406 21053283282812 42106566565624 84213133131248