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47940863040 = 26335742311
BaseRepresentation
bin101100101001011111…
…111000010001000000
311120202002012011202000
4230221133320101000
51241140330104130
634005043024000
73315006420000
oct545137702100
9146662164660
1047940863040
1119371404a74
12935b36b000
1346a028b4a5
14246b080000
1513a8c00260
hexb297f8440

47940863040 has 560 divisors, whose sum is σ = 197385797760. Its totient is φ = 10953169920.

The previous prime is 47940863029. The next prime is 47940863051. The reversal of 47940863040 is 4036804974.

47940863040 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 0 + 8 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47940863029) and next prime (47940863051).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20743485 + ... + 20745795.

Almost surely, 247940863040 is an apocalyptic number.

47940863040 is a gapful number since it is divisible by the number (40) 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 47940863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98692898880).

47940863040 is an abundant number, since it is smaller than the sum of its proper divisors (149444934720).

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

47940863040 is an equidigital number, since it uses as much as digits as its factorization.

47940863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47940863040 in words is "forty-seven billion, nine hundred forty million, eight hundred sixty-three thousand, forty".