Search a number
-
+
5515040168 = 23111914092341
BaseRepresentation
bin1010010001011100…
…01101010110101000
3112020100112001211222
411020232031112220
542243322241133
62311130241212
7253445032211
oct51056152650
915210461758
105515040168
112380107340
12109ab86208
1369b77b6a1
143a4650408
15224290e98
hex148b8d5a8

5515040168 has 64 divisors (see below), whose sum is σ = 11887992000. Its totient is φ = 2372198400.

The previous prime is 5515040131. The next prime is 5515040173. The reversal of 5515040168 is 8610405155.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354678 + ... + 2357018.

It is an arithmetic number, because the mean of its divisors is an integer number (185749875).

Almost surely, 25515040168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5515040168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943996000).

5515040168 is an abundant number, since it is smaller than the sum of its proper divisors (6372951832).

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

5515040168 is a wasteful number, since it uses less digits than its factorization.

5515040168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 5515040168 is about 74263.3164355054. The cubic root of 5515040168 is about 1766.7817042135.

The spelling of 5515040168 in words is "five billion, five hundred fifteen million, forty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1409 1672 2341 2818 4682 5636 9364 11272 15499 18728 25751 26771 30998 44479 51502 53542 61996 88958 103004 107084 123992 177916 206008 214168 294481 355832 489269 588962 978538 1177924 1957076 2355848 3298469 3914152 6596938 13193876 26387752 36283159 62670911 72566318 125341822 145132636 250683644 290265272 501367288 689380021 1378760042 2757520084 5515040168