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47274651648 = 21233779773
BaseRepresentation
bin101100000001110010…
…011111000000000000
311112000122121010112000
4230001302133000000
51233304302323043
633415003504000
73262336623510
oct540162370000
9145018533460
1047274651648
111905a343544
1291b4228000
1345c524c673
1424067bd840
15136a4a42d3
hexb01c9f000

47274651648 has 416 divisors, whose sum is σ = 162299750400. Its totient is φ = 13318815744.

The previous prime is 47274651643. The next prime is 47274651649. The reversal of 47274651648 is 84615647274.

47274651648 is a `hidden beast` number, since 47 + 2 + 7 + 46 + 516 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47274651594 and 47274651603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47274651643) 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, 61156990 + ... + 61157762.

Almost surely, 247274651648 is an apocalyptic number.

47274651648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47274651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81149875200).

47274651648 is an abundant number, since it is smaller than the sum of its proper divisors (115025098752).

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

47274651648 is an equidigital number, since it uses as much as digits as its factorization.

47274651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 864 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 47274651648 in words is "forty-seven billion, two hundred seventy-four million, six hundred fifty-one thousand, six hundred forty-eight".