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47906225472 = 2637193173829
BaseRepresentation
bin101100100111011011…
…101111110101000000
311120122200000101221010
4230213123233311000
51241102443203342
634001404400520
73314106124560
oct544733576500
9146580011833
1047906225472
11193538a7286
12934b846140
1346960516a1
142466624da0
1513a5b5c29c
hexb276efd40

47906225472 has 448 divisors, whose sum is σ = 159750963200. Its totient is φ = 12361973760.

The previous prime is 47906225467. The next prime is 47906225483. The reversal of 47906225472 is 27452260974.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57787554 + ... + 57788382.

Almost surely, 247906225472 is an apocalyptic number.

47906225472 is a gapful number since it is divisible by the number (42) 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 47906225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79875481600).

47906225472 is an abundant number, since it is smaller than the sum of its proper divisors (111844737728).

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

47906225472 is a wasteful number, since it uses less digits than its factorization.

47906225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 47906225472 in words is "forty-seven billion, nine hundred six million, two hundred twenty-five thousand, four hundred seventy-two".