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5465151008 = 253731714561
BaseRepresentation
bin1010001011011111…
…11001011000100000
3112002212122102210022
411011233321120200
542143034313013
62302145053012
7252301005602
oct50557713040
915085572708
105465151008
112354a31929
121086327168
13691331885
1439bb85172
1521ebd9008
hex145bf9620

5465151008 has 48 divisors (see below), whose sum is σ = 11085934104. Its totient is φ = 2650152960.

The previous prime is 5465151001. The next prime is 5465151037. The reversal of 5465151008 is 8001515645.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5222663824 + 242487184 = 72268^2 + 15572^2 .

It is not an unprimeable number, because it can be changed into a prime (5465151001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368048 + ... + 382608.

Almost surely, 25465151008 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 5465151008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542967052).

5465151008 is an abundant number, since it is smaller than the sum of its proper divisors (5620783096).

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

5465151008 is a wasteful number, since it uses less digits than its factorization.

5465151008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14925 (or 14917 counting only the distinct ones).

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

The square root of 5465151008 is about 73926.6596567165. The cubic root of 5465151008 is about 1761.4381117760.

The spelling of 5465151008 in words is "five billion, four hundred sixty-five million, one hundred fifty-one thousand, eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 317 592 634 1184 1268 2536 5072 10144 11729 14561 23458 29122 46916 58244 93832 116488 187664 232976 375328 465952 538757 1077514 2155028 4310056 4615837 8620112 9231674 17240224 18463348 36926696 73853392 147706784 170785969 341571938 683143876 1366287752 2732575504 5465151008