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47435250080 = 2554716273877
BaseRepresentation
bin101100001011010111…
…000111100110100000
311112102211210101011002
4230023113013212200
51234121411000310
633442542011132
73266326654511
oct541327074640
9145384711132
1047435250080
1119131a64519
129239b76aa8
13461c5bc61a
14241dc66a08
151379628da5
hexb0b5c79a0

47435250080 has 96 divisors (see below), whose sum is σ = 114550039296. Its totient is φ = 18554194944.

The previous prime is 47435250073. The next prime is 47435250097. The reversal of 47435250080 is 8005253474.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 12233102 + ... + 12236978.

It is an arithmetic number, because the mean of its divisors is an integer number (1193229576).

Almost surely, 247435250080 is an apocalyptic number.

47435250080 is a gapful number since it is divisible by the number (40) 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 47435250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57275019648).

47435250080 is an abundant number, since it is smaller than the sum of its proper divisors (67114789216).

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

47435250080 is a wasteful number, since it uses less digits than its factorization.

47435250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 47435250080 in words is "forty-seven billion, four hundred thirty-five million, two hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1627 1880 3254 3760 3877 6508 7520 7754 8135 13016 15508 16270 19385 26032 31016 32540 38770 52064 62032 65080 76469 77540 124064 130160 152938 155080 182219 260320 305876 310160 364438 382345 611752 620320 728876 764690 911095 1223504 1457752 1529380 1822190 2447008 2915504 3058760 3644380 5831008 6117520 6307879 7288760 12235040 12615758 14577520 25231516 29155040 31539395 50463032 63078790 100926064 126157580 201852128 252315160 296470313 504630320 592940626 1009260640 1185881252 1482351565 2371762504 2964703130 4743525008 5929406260 9487050016 11858812520 23717625040 47435250080