Search a number
-
+
47411726440 = 23513218138749
BaseRepresentation
bin101100001001111101…
…011000100001101000
311112101012112020210011
4230021331120201220
51234044400221230
633440341501304
73265623011461
oct541175304150
9145335466704
1047411726440
111911a7578a1
129232111834
134617774400
14241aaa1d68
15137752de2a
hexb09f58868

47411726440 has 96 divisors (see below), whose sum is σ = 116154675000. Its totient is φ = 17408701440.

The previous prime is 47411726413. The next prime is 47411726441. The reversal of 47411726440 is 4462711474.

It can be written as a sum of positive squares in 12 ways, for example, as 7434923076 + 39976803364 = 86226^2 + 199942^2 .

It is a super-3 number, since 3×474117264403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 47411726393 and 47411726402.

It is not an unprimeable number, because it can be changed into a prime (47411726441) by changing a digit.

It is a nontrivial repunit in base 3619.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204186 + ... + 1242934.

Almost surely, 247411726440 is an apocalyptic number.

47411726440 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 47411726440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58077337500).

47411726440 is an abundant number, since it is smaller than the sum of its proper divisors (68742948560).

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

47411726440 is a wasteful number, since it uses less digits than its factorization.

47411726440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38967 (or 38950 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 47411726440 in words is "forty-seven billion, four hundred eleven million, seven hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 181 260 338 362 520 676 724 845 905 1352 1448 1690 1810 2353 3380 3620 4706 6760 7240 9412 11765 18824 23530 30589 38749 47060 61178 77498 94120 122356 152945 154996 193745 244712 305890 309992 387490 503737 611780 774980 1007474 1223560 1549960 2014948 2518685 4029896 5037370 6548581 7013569 10074740 13097162 14027138 20149480 26194324 28054276 32742905 35067845 52388648 56108552 65485810 70135690 91176397 130971620 140271380 182352794 261943240 280542760 364705588 455881985 729411176 911763970 1185293161 1823527940 2370586322 3647055880 4741172644 5926465805 9482345288 11852931610 23705863220 47411726440