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47313584128 = 2181011787
BaseRepresentation
bin101100000100000111…
…000000000000000000
311112010100212002211201
4230010013000000000
51233344234143003
633422514150544
73263321554336
oct540407000000
9145110762751
1047313584128
111907a315048
129205282454
134600331335
14240ba35b56
15136dae4b1d
hexb041c0000

47313584128 has 76 divisors (see below), whose sum is σ = 95617365912. Its totient is φ = 23409459200.

The previous prime is 47313584069. The next prime is 47313584159. The reversal of 47313584128 is 82148531374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26475651 + ... + 26477437.

Almost surely, 247313584128 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 47313584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47808682956).

47313584128 is an abundant number, since it is smaller than the sum of its proper divisors (48303781784).

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

47313584128 is an frugal number, since it uses more digits than its factorization.

47313584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1890 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The spelling of 47313584128 in words is "forty-seven billion, three hundred thirteen million, five hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 1787 2048 3232 3574 4096 6464 7148 8192 12928 14296 16384 25856 28592 32768 51712 57184 65536 103424 114368 131072 180487 206848 228736 262144 360974 413696 457472 721948 827392 914944 1443896 1654784 1829888 2887792 3309568 3659776 5775584 6619136 7319552 11551168 13238272 14639104 23102336 26476544 29278208 46204672 58556416 92409344 117112832 184818688 234225664 369637376 468451328 739274752 1478549504 2957099008 5914198016 11828396032 23656792064 47313584128