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5156605440 = 29325731973
BaseRepresentation
bin1001100110101101…
…11000111000000000
3111022101001200211200
410303112320320000
541030042333230
62211403541200
7241533265050
oct46326707000
914271050750
105156605440
112206850a98
12bbab2a800
1364243122c
1436cbc9560
15202a8d160
hex1335b8e00

5156605440 has 240 divisors, whose sum is σ = 20410666848. Its totient is φ = 1178615808.

The previous prime is 5156605417. The next prime is 5156605471. The reversal of 5156605440 is 445066515.

5156605440 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5156605395 and 5156605404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145294 + ... + 177266.

Almost surely, 25156605440 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 5156605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205333424).

5156605440 is an abundant number, since it is smaller than the sum of its proper divisors (15254061408).

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

5156605440 is a wasteful number, since it uses less digits than its factorization.

5156605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32009 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5156605440 is about 71809.5080055559. The cubic root of 5156605440 is about 1727.6455034122.

The spelling of 5156605440 in words is "five billion, one hundred fifty-six million, six hundred five thousand, four hundred forty".