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855684201024 = 2632385432
BaseRepresentation
bin11000111001110101100…
…00001011101001000000
310000210200002210020112100
430130322300023221000
5103004420123413044
61453032414030400
7115551436462302
oct14347260135100
93023602706470
10855684201024
112aa991473144
12119a06aa8400
13628c9545153
142d5b597b972
15173d1bde869
hexc73ac0ba40

855684201024 has 63 divisors (see below), whose sum is σ = 2452727899843. Its totient is φ = 285220666752.

The previous prime is 855684201019. The next prime is 855684201049. The reversal of 855684201024 is 420102486558.

The square root of 855684201024 is 925032.

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

855684201024 is a `hidden beast` number, since 8 + 556 + 84 + 2 + 0 + 10 + 2 + 4 = 666.

It is a super-4 number, since 4×8556842010244 (a number of 49 digits) contains 4444 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 22181497 + ... + 22220039.

Almost surely, 2855684201024 is an apocalyptic number.

855684201024 is the 925032-nd square number.

It is an amenable number.

855684201024 is an abundant number, since it is smaller than the sum of its proper divisors (1597043698819).

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

855684201024 is an frugal number, since it uses more digits than its factorization.

855684201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77104 (or 38548 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 855684201024 in words is "eight hundred fifty-five billion, six hundred eighty-four million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 38543 77086 115629 154172 231258 308344 346887 462516 616688 693774 925032 1233376 1387548 1850064 2466752 2775096 3700128 5550192 7400256 11100384 22200768 1485562849 2971125698 4456688547 5942251396 8913377094 11884502792 13370065641 17826754188 23769005584 26740131282 35653508376 47538011168 53480262564 71307016752 95076022336 106960525128 142614033504 213921050256 285228067008 427842100512 855684201024