Search a number
-
+
5646966048 = 253237529933
BaseRepresentation
bin1010100001001010…
…11101110100100000
3112120112202121010200
411100211131310200
543031110403143
62332202025200
7256636263603
oct52045356440
915515677120
105646966048
112438624199
1211171a8200
136bcbbc939
143b7d9233a
15230b501d3
hex15095dd20

5646966048 has 72 divisors (see below), whose sum is σ = 16492605948. Its totient is φ = 1831444992.

The previous prime is 5646966029. The next prime is 5646966053. The reversal of 5646966048 is 8406696465.

It can be written as a sum of positive squares in 2 ways, for example, as 4386147984 + 1260818064 = 66228^2 + 35508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5646965985 and 5646966003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254311 + ... + 275622.

Almost surely, 25646966048 is an apocalyptic number.

It is an amenable number.

5646966048 is an abundant number, since it is smaller than the sum of its proper divisors (10845639900).

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

5646966048 is a wasteful number, since it uses less digits than its factorization.

5646966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529986 (or 529975 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 5646966048 is about 75146.2976333498. The cubic root of 5646966048 is about 1780.7586346686.

The spelling of 5646966048 in words is "five billion, six hundred forty-six million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 529933 1059866 1589799 2119732 3179598 4239464 4769397 6359196 8478928 9538794 12718392 16957856 19077588 19607521 25436784 38155176 39215042 50873568 58822563 76310352 78430084 117645126 152620704 156860168 176467689 235290252 313720336 352935378 470580504 627440672 705870756 941161008 1411741512 1882322016 2823483024 5646966048