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5505768138 = 23131712313373
BaseRepresentation
bin1010010000010101…
…10101101011001010
3112012201002000000110
411020022311223022
542233434040023
62310155415150
7253303154103
oct51012655312
915181060013
105505768138
112375954102
121097a544b6
13699883290
143a33193aa
1522355da93
hex1482b5aca

5505768138 has 64 divisors (see below), whose sum is σ = 12570066432. Its totient is φ = 1592663040.

The previous prime is 5505768127. The next prime is 5505768143. The reversal of 5505768138 is 8318675055.

It is a super-3 number, since 3×55057681383 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630620 + ... + 1633992.

It is an arithmetic number, because the mean of its divisors is an integer number (196407288).

Almost surely, 25505768138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505768138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285033216).

5505768138 is an abundant number, since it is smaller than the sum of its proper divisors (7064298294).

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

5505768138 is a wasteful number, since it uses less digits than its factorization.

5505768138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639.

The product of its (nonzero) digits is 1008000, while the sum is 48.

The square root of 5505768138 is about 74200.8634585879. The cubic root of 5505768138 is about 1765.7910289285.

The spelling of 5505768138 in words is "five billion, five hundred five million, seven hundred sixty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1231 1326 2462 3373 3693 6746 7386 10119 16003 20238 20927 32006 41854 43849 48009 57341 62781 87698 96018 114682 125562 131547 172023 263094 272051 344046 544102 745433 816153 1490866 1632306 2236299 4152163 4472598 8304326 12456489 24912978 53978119 70586771 107956238 141173542 161934357 211760313 323868714 423520626 917628023 1835256046 2752884069 5505768138