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5042651040 = 2532571513313
BaseRepresentation
bin1001011001001000…
…01011111110100000
3111000102122012210100
410230210023332200
540311404313130
62152213302400
7235650553350
oct45444137640
914012565710
105042651040
1121584993a9
12b88934a00
13624942cab
1435ba04b60
151e7a7dc60
hex12c90bfa0

5042651040 has 288 divisors, whose sum is σ = 19802555136. Its totient is φ = 1144627200.

The previous prime is 5042651023. The next prime is 5042651041. The reversal of 5042651040 is 401562405.

5042651040 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 651 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×50426510402 = 50856659022426163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5042650995 and 5042651013.

It is not an unprimeable number, because it can be changed into a prime (5042651041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520424 + ... + 1523736.

It is an arithmetic number, because the mean of its divisors is an integer number (68758872).

Almost surely, 25042651040 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 5042651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901277568).

5042651040 is an abundant number, since it is smaller than the sum of its proper divisors (14759904096).

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

5042651040 is a wasteful number, since it uses less digits than its factorization.

5042651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5042651040 is about 71011.6260903804. The cubic root of 5042651040 is about 1714.8243369394.

The spelling of 5042651040 in words is "five billion, forty-two million, six hundred fifty-one thousand, forty".