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47930342544 = 243573127283
BaseRepresentation
bin101100101000110111…
…101111110010010000
311120201100101200100000
4230220313233302100
51241130131430134
634004025330000
73314521122000
oct545067576220
9146640350300
1047930342544
1119366479847
129357936900
13469b046a46
142469902000
1513a7d22e99
hexb28defc90

47930342544 has 480 divisors, whose sum is σ = 164078387200. Its totient is φ = 13538544768.

The previous prime is 47930342501. The next prime is 47930342561. The reversal of 47930342544 is 44524303974.

47930342544 is a `hidden beast` number, since 4 + 79 + 3 + 0 + 34 + 2 + 544 = 666.

It is a super-3 number, since 3×479303425443 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47930342544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169365027 + ... + 169365309.

Almost surely, 247930342544 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 47930342544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82039193600).

47930342544 is an abundant number, since it is smaller than the sum of its proper divisors (116148044656).

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

47930342544 is a wasteful number, since it uses less digits than its factorization.

47930342544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 47930342544 in words is "forty-seven billion, nine hundred thirty million, three hundred forty-two thousand, five hundred forty-four".