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5505936804 = 22328321492
BaseRepresentation
bin1010010000010110…
…11110110110100100
3112012201101120101100
411020023132312210
542234004434204
62310203200100
7253304455614
oct51013366644
915181346340
105505936804
112375a598a5
121097b16030
13699911c94
143a3360a44
15223593a39
hex1482deda4

5505936804 has 81 divisors (see below), whose sum is σ = 14182670593. Its totient is φ = 1801030944.

The previous prime is 5505936773. The next prime is 5505936809. The reversal of 5505936804 is 4086395055.

The square root of 5505936804 is 74202.

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

5505936804 is a `hidden beast` number, since 5 + 50 + 593 + 6 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 645058404 + 4860878400 = 25398^2 + 69720^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5505936804.

It is not an unprimeable number, because it can be changed into a prime (5505936809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36952522 + ... + 36952670.

Almost surely, 25505936804 is an apocalyptic number.

5505936804 is the 74202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505936804

5505936804 is an abundant number, since it is smaller than the sum of its proper divisors (8676733789).

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

5505936804 is a wasteful number, since it uses less digits than its factorization.

5505936804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The cubic root of 5505936804 is about 1765.8090600710.

The spelling of 5505936804 in words is "five billion, five hundred five million, nine hundred thirty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 83 149 166 249 298 332 447 498 596 747 894 996 1341 1494 1788 2682 2988 5364 6889 12367 13778 20667 22201 24734 27556 37101 41334 44402 49468 62001 66603 74202 82668 88804 111303 124002 133206 148404 199809 222606 248004 266412 399618 445212 799236 1026461 1842683 2052922 3079383 3685366 4105844 5528049 6158766 7370732 9238149 11056098 12317532 16584147 18476298 22112196 33168294 36952596 66336588 152942689 305885378 458828067 611770756 917656134 1376484201 1835312268 2752968402 5505936804