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47892242484 = 223237103349079
BaseRepresentation
bin101100100110100110…
…011010000000110100
311120121200200222212200
4230212212122000310
51241040403224414
634000144544500
73313546226052
oct544646320064
9146550628780
1047892242484
1119346a16699
129347022130
134693196c28
1424648251d2
1513a47e9109
hexb2699a034

47892242484 has 72 divisors (see below), whose sum is σ = 125540338560. Its totient is φ = 15381772992.

The previous prime is 47892242467. The next prime is 47892242527. The reversal of 47892242484 is 48424229874.

47892242484 is a `hidden beast` number, since 4 + 78 + 92 + 2 + 4 + 2 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47892242484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37344 + ... + 311735.

Almost surely, 247892242484 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 47892242484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62770169280).

47892242484 is an abundant number, since it is smaller than the sum of its proper divisors (77648096076).

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

47892242484 is a wasteful number, since it uses less digits than its factorization.

47892242484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349229 (or 349224 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 47892242484 in words is "forty-seven billion, eight hundred ninety-two million, two hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 103 111 148 206 222 309 333 412 444 618 666 927 1236 1332 1854 3708 3811 7622 11433 15244 22866 34299 45732 68598 137196 349079 698158 1047237 1396316 2094474 3141711 4188948 6283422 12566844 12915923 25831846 35955137 38747769 51663692 71910274 77495538 107865411 116243307 143820548 154991076 215730822 232486614 323596233 431461644 464973228 647192466 1294384932 1330340069 2660680138 3991020207 5321360276 7982040414 11973060621 15964080828 23946121242 47892242484