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4674521988864 = 283372137989151
BaseRepresentation
bin100010000000101111100…
…1110001111111100000000
3121112212202110211000212000
41010001133032033330000
51103041410112120424
613535240141104000
7661503004212600
oct104013716177400
917485673730760
104674521988864
1115424a9886412
12635b53b58000
1327ba619a5830
141223689cac00
15818dd41c3c9
hex4405f38ff00

4674521988864 has 1728 divisors, whose sum is σ = 17850889728000. Its totient is φ = 1195587993600.

The previous prime is 4674521988859. The next prime is 4674521988887. The reversal of 4674521988864 is 4688891254764.

4674521988864 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 521 + 98 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×46745219888642 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4674521988792 and 4674521988801.

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, 30957099189 + ... + 30957099339.

It is an arithmetic number, because the mean of its divisors is an integer number (10330376000).

Almost surely, 24674521988864 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 4674521988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925444864000).

4674521988864 is an abundant number, since it is smaller than the sum of its proper divisors (13176367739136).

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

4674521988864 is a wasteful number, since it uses less digits than its factorization.

4674521988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 4674521988864 in words is "four trillion, six hundred seventy-four billion, five hundred twenty-one million, nine hundred eighty-eight thousand, eight hundred sixty-four".