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5501625264 = 2432294393001
BaseRepresentation
bin1010001111110110…
…00010001110110000
3112012102021112001200
411013323002032300
542231404002024
62305530531200
7253223020542
oct50773021660
915172245050
105501625264
112373584543
121096596b00
13698a62685
143a295b692
15222ee12c9
hex147ec23b0

5501625264 has 120 divisors (see below), whose sum is σ = 15969439200. Its totient is φ = 1766016000.

The previous prime is 5501625263. The next prime is 5501625281. The reversal of 5501625264 is 4625261055.

5501625264 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 625 + 26 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5501625263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831764 + ... + 1834764.

It is an arithmetic number, because the mean of its divisors is an integer number (133078660).

Almost surely, 25501625264 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 5501625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984719600).

5501625264 is an abundant number, since it is smaller than the sum of its proper divisors (10467813936).

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

5501625264 is a wasteful number, since it uses less digits than its factorization.

5501625264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5501625264 is about 74172.9415892345. The cubic root of 5501625264 is about 1765.3480216926.

The spelling of 5501625264 in words is "five billion, five hundred one million, six hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 439 464 522 696 878 1044 1317 1392 1756 2088 2634 3001 3512 3951 4176 5268 6002 7024 7902 9003 10536 12004 12731 15804 18006 21072 24008 25462 27009 31608 36012 38193 48016 50924 54018 63216 72024 76386 87029 101848 108036 114579 144048 152772 174058 203696 216072 229158 261087 305544 348116 432144 458316 522174 611088 696232 783261 916632 1044348 1317439 1392464 1566522 1833264 2088696 2634878 3133044 3952317 4177392 5269756 6266088 7904634 10539512 11856951 12532176 15809268 21079024 23713902 31618536 38205731 47427804 63237072 76411462 94855608 114617193 152822924 189711216 229234386 305645848 343851579 458468772 611291696 687703158 916937544 1375406316 1833875088 2750812632 5501625264