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47691514368 = 2935597389
BaseRepresentation
bin101100011010101000…
…101100001000000000
311120002200222221200000
4230122220230020000
51240133011424433
633524214400000
73305561116641
oct543250541000
9146080887600
1047691514368
1119253686693
1292ab960000
1346607163b4
142445cd36c8
151391d99113
hexb1aa2c200

47691514368 has 480 divisors, whose sum is σ = 148799851200. Its totient is φ = 15240462336.

The previous prime is 47691514331. The next prime is 47691514411. The reversal of 47691514368 is 86341519674.

47691514368 is a `hidden beast` number, since 4 + 7 + 6 + 91 + 514 + 36 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535859668 + ... + 535859756.

It is an arithmetic number, because the mean of its divisors is an integer number (309999690).

Almost surely, 247691514368 is an apocalyptic number.

47691514368 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 47691514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74399925600).

47691514368 is an abundant number, since it is smaller than the sum of its proper divisors (101108336832).

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

47691514368 is an frugal number, since it uses more digits than its factorization.

47691514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 47691514368 in words is "forty-seven billion, six hundred ninety-one million, five hundred fourteen thousand, three hundred sixty-eight".