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47230060416 = 27372111731433
BaseRepresentation
bin101011111111001000…
…011000011110000000
311111220112200122211220
4223333020120132000
51233211343413131
633410332035040
73261255614100
oct537710303600
9144815618756
1047230060416
1119037157490
1291a1302a80
1345b8c39116
1424008d3200
1513665e6e96
hexaff218780

47230060416 has 768 divisors, whose sum is σ = 174408837120. Its totient is φ = 11147673600.

The previous prime is 47230060357. The next prime is 47230060487. The reversal of 47230060416 is 61406003274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109076136 + ... + 109076568.

It is an arithmetic number, because the mean of its divisors is an integer number (227094840).

Almost surely, 247230060416 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 47230060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87204418560).

47230060416 is an abundant number, since it is smaller than the sum of its proper divisors (127178776704).

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

47230060416 is a wasteful number, since it uses less digits than its factorization.

47230060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 47230060416 in words is "forty-seven billion, two hundred thirty million, sixty thousand, four hundred sixteen".