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1482968643984 = 2434338272
BaseRepresentation
bin10101100101000111110…
…100011011100110010000
312020202210122010121110000
4111211013310123212100
5143244104433101414
63053133312410000
7212066226330252
oct25450764334620
95222718117400
101482968643984
11521a18158553
121bb4ab246900
13a9ac6a94c59
1451ac1747cd2
152889707bb09
hex15947d1b990

1482968643984 has 75 divisors (see below), whose sum is σ = 4292268388507. Its totient is φ = 494308268064.

The previous prime is 1482968643917. The next prime is 1482968644013. The reversal of 1482968643984 is 4893468692841.

The square root of 1482968643984 is 1217772.

It is a perfect power (a square), and thus also a powerful number.

1482968643984 is a `hidden beast` number, since 1 + 482 + 9 + 6 + 8 + 64 + 3 + 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 Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43822879 + ... + 43856705.

Almost surely, 21482968643984 is an apocalyptic number.

1482968643984 is the 1217772-nd square number.

It is an amenable number.

1482968643984 is an abundant number, since it is smaller than the sum of its proper divisors (2809299744523).

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

1482968643984 is an frugal number, since it uses more digits than its factorization.

1482968643984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67674 (or 33832 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 1482968643984 in words is "one trillion, four hundred eighty-two billion, nine hundred sixty-eight million, six hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 33827 67654 101481 135308 202962 270616 304443 405924 541232 608886 811848 913329 1217772 1623696 1826658 2435544 2739987 3653316 4871088 5479974 7306632 10959948 14613264 21919896 43839792 1144265929 2288531858 3432797787 4577063716 6865595574 9154127432 10298393361 13731191148 18308254864 20596786722 27462382296 30895180083 41193573444 54924764592 61790360166 82387146888 92685540249 123580720332 164774293776 185371080498 247161440664 370742160996 494322881328 741484321992 1482968643984