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47557046240 = 2551122456459
BaseRepresentation
bin101100010010100111…
…101110111111100000
311112202022222021001222
4230102213232333200
51234344100434430
633503012314212
73302336136404
oct542247567740
9145668867058
1047557046240
1119194792800
129272912968
13463b8c4c62
1424320cd104
1513851869e5
hexb129eefe0

47557046240 has 72 divisors (see below), whose sum is σ = 123496070040. Its totient is φ = 17293464320.

The previous prime is 47557046191. The next prime is 47557046267. The reversal of 47557046240 is 4264075574.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 47557046191 and 47557046200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1208870 + ... + 1247589.

It is an arithmetic number, because the mean of its divisors is an integer number (1715223195).

Almost surely, 247557046240 is an apocalyptic number.

47557046240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47557046240 is an abundant number, since it is smaller than the sum of its proper divisors (75939023800).

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

47557046240 is a wasteful number, since it uses less digits than its factorization.

47557046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456496 (or 2456477 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 47557046240 in words is "forty-seven billion, five hundred fifty-seven million, forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 2456459 4912918 9825836 12282295 19651672 24564590 27021049 39303344 49129180 54042098 78606688 98258360 108084196 135105245 196516720 216168392 270210490 297231539 393033440 432336784 540420980 594463078 864673568 1080841960 1188926156 1486157695 2161683920 2377852312 2972315390 4323367840 4755704624 5944630780 9511409248 11889261560 23778523120 47557046240