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47697002496 = 215331113229
BaseRepresentation
bin101100011010111101…
…101000000000000000
311120010002022202222000
4230122331220000000
51240140413034441
633524532144000
73305655555213
oct543275500000
9146102282860
1047697002496
1119256794a30
1292b1768000
1346618b8400
14244692177a
1513925d02b6
hexb1af68000

47697002496 has 768 divisors, whose sum is σ = 172697832000. Its totient is φ = 12881756160.

The previous prime is 47697002477. The next prime is 47697002501. The reversal of 47697002496 is 69420079674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644724210 + ... + 1644724238.

Almost surely, 247697002496 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 47697002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86348916000).

47697002496 is an abundant number, since it is smaller than the sum of its proper divisors (125000829504).

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

47697002496 is a wasteful number, since it uses less digits than its factorization.

47697002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47697002496 in words is "forty-seven billion, six hundred ninety-seven million, two thousand, four hundred ninety-six".