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5555913444 = 22344121012
BaseRepresentation
bin1010010110010100…
…01000001011100100
3112100012102122110000
411023022020023210
542334303212234
62315150301300
7254452325244
oct51312101344
915305378400
105555913444
1123a1194004
1210b07b7830
136a708c863
143a9c4db24
15227b66899
hex14b2882e4

5555913444 has 135 divisors (see below), whose sum is σ = 15036002443. Its totient is φ = 1788912000.

The previous prime is 5555913401. The next prime is 5555913469. The reversal of 5555913444 is 4443195555.

It is a happy number.

The square root of 5555913444 is 74538.

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

5555913444 is a `hidden beast` number, since 5 + 55 + 591 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 5553230400 = 1638^2 + 74520^2 .

It is a super-2 number, since 2×55559134442 = 61736348394439882272, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1080000) is a multiple of the sum of its prime factors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 5555913444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55008994 + ... + 55009094.

Almost surely, 25555913444 is an apocalyptic number.

5555913444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5555913444 is the 74538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5555913444

5555913444 is an abundant number, since it is smaller than the sum of its proper divisors (9480088999).

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

5555913444 is a wasteful number, since it uses less digits than its factorization.

5555913444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 147 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The cubic root of 5555913444 is about 1771.1356458100.

The spelling of 5555913444 in words is "five billion, five hundred fifty-five million, nine hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 101 108 123 162 164 202 246 303 324 369 404 492 606 738 909 1107 1212 1476 1681 1818 2214 2727 3321 3362 3636 4141 4428 5043 5454 6642 6724 8181 8282 10086 10201 10908 12423 13284 15129 16362 16564 20172 20402 24846 30258 30603 32724 37269 40804 45387 49692 60516 61206 74538 90774 91809 111807 122412 136161 149076 169781 181548 183618 223614 272322 275427 335421 339562 367236 418241 447228 509343 544644 550854 670842 679124 826281 836482 1018686 1101708 1254723 1341684 1528029 1652562 1672964 2037372 2509446 3056058 3305124 3764169 4584087 5018892 6112116 7528338 9168174 11292507 13752261 15056676 17147881 18336348 22585014 27504522 33877521 34295762 45170028 51443643 55009044 67755042 68591524 102887286 135510084 154330929 205774572 308661858 462992787 617323716 925985574 1388978361 1851971148 2777956722 5555913444