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47285428150656 = 2733176011339153
BaseRepresentation
bin10101100000001011111110…
…01001011110000110000000
320012102102221210022101001000
422300011333021132012000
522144211024101310111
6244322343101412000
712650154663415533
oct1260057711360600
9205372853271030
1047285428150656
111408070150a613
12537829626a000
13204ccc5ac2517
14b968ac440a1a
15570008689c56
hex2b017f25e180

47285428150656 has 256 divisors, whose sum is σ = 148012941988800. Its totient is φ = 14809949798400.

The previous prime is 47285428150651. The next prime is 47285428150699. The reversal of 47285428150656 is 65605182458274.

It is a happy number.

47285428150656 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 5 + 42 + 81 + 506 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47285428150593 and 47285428150602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47285428150651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34640376 + ... + 35979528.

Almost surely, 247285428150656 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 47285428150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74006470994400).

47285428150656 is an abundant number, since it is smaller than the sum of its proper divisors (100727513838144).

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

47285428150656 is a wasteful number, since it uses less digits than its factorization.

47285428150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339794 (or 1339776 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 47285428150656 in words is "forty-seven trillion, two hundred eighty-five billion, four hundred twenty-eight million, one hundred fifty thousand, six hundred fifty-six".