Search a number
-
+
47555346440 = 23571797110289
BaseRepresentation
bin101100010010100001…
…010000000000001000
311112202012202220101102
4230102201100000020
51234343132041230
633502512040532
73302315526620
oct542241200010
9145665686342
1047555346440
1119193831708
129272233148
13463b44b364
142431ba9880
151384e4d045
hexb12850008

47555346440 has 128 divisors (see below), whose sum is σ = 129624364800. Its totient is φ = 15328296960.

The previous prime is 47555346437. The next prime is 47555346463. The reversal of 47555346440 is 4464355574.

47555346440 is nontrivially palindromic in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4616816 + ... + 4627104.

It is an arithmetic number, because the mean of its divisors is an integer number (1012690350).

Almost surely, 247555346440 is an apocalyptic number.

47555346440 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 47555346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64812182400).

47555346440 is an abundant number, since it is smaller than the sum of its proper divisors (82069018360).

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

47555346440 is a wasteful number, since it uses less digits than its factorization.

47555346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 47.

The spelling of 47555346440 in words is "forty-seven billion, five hundred fifty-five million, three hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 971 1190 1942 2380 3884 4760 4855 6797 7768 9710 10289 13594 16507 19420 20578 27188 33014 33985 38840 41156 51445 54376 66028 67970 72023 82312 82535 102890 115549 132056 135940 144046 165070 174913 205780 231098 271880 288092 330140 349826 360115 411560 462196 576184 577745 660280 699652 720230 874565 924392 1155490 1224391 1399304 1440460 1749130 2310980 2448782 2880920 3498260 4621960 4897564 6121955 6996520 9795128 9990619 12243910 19981238 24487820 39962476 48975640 49953095 69934333 79924952 99906190 139868666 169840523 199812380 279737332 339681046 349671665 399624760 559474664 679362092 699343330 849202615 1188883661 1358724184 1398686660 1698405230 2377767322 2797373320 3396810460 4755534644 5944418305 6793620920 9511069288 11888836610 23777673220 47555346440