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5151371040 = 2533553149151
BaseRepresentation
bin1001100110000101…
…11010111100100000
3111022000012202121000
410303002322330200
541022222333130
62211055432000
7241440634314
oct46302727440
914260182530
105151371040
1122038a6342
12bb9225600
1364131a85a
1436c225b44
152023a7260
hex1330baf20

5151371040 has 384 divisors, whose sum is σ = 18615744000. Its totient is φ = 1329868800.

The previous prime is 5151371009. The next prime is 5151371041. The reversal of 5151371040 is 401731515.

5151371040 is a `hidden beast` number, since 515 + 137 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5151370995 and 5151371013.

It is not an unprimeable number, because it can be changed into a prime (5151371041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34114965 + ... + 34115115.

It is an arithmetic number, because the mean of its divisors is an integer number (48478500).

Almost surely, 25151371040 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 5151371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872000).

5151371040 is an abundant number, since it is smaller than the sum of its proper divisors (13464372960).

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

5151371040 is a wasteful number, since it uses less digits than its factorization.

5151371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5151371040 is about 71773.0523246713. The cubic root of 5151371040 is about 1727.0607356920.

The spelling of 5151371040 in words is "five billion, one hundred fifty-one million, three hundred seventy-one thousand, forty".