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5156651520 = 293252337263
BaseRepresentation
bin1001100110101110…
…00100001000000000
3111022101011001001100
410303113010020000
541030100322040
62211404534400
7241533546306
oct46327041000
914271131040
105156651520
112206882679
12bbab51400
136424491b7
1436cbdc276
15202a9bb30
hex1335c4200

5156651520 has 480 divisors, whose sum is σ = 19211841792. Its totient is φ = 1274904576.

The previous prime is 5156651491. The next prime is 5156651527. The reversal of 5156651520 is 251566515.

It is a tau number, because it is divible by the number of its divisors (480).

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 (5156651527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19606909 + ... + 19607171.

Almost surely, 25156651520 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 5156651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605920896).

5156651520 is an abundant number, since it is smaller than the sum of its proper divisors (14055190272).

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

5156651520 is a wasteful number, since it uses less digits than its factorization.

5156651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 5156651520 is about 71809.8288537161. The cubic root of 5156651520 is about 1727.6506495410.

The spelling of 5156651520 in words is "five billion, one hundred fifty-six million, six hundred fifty-one thousand, five hundred twenty".