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47733331338 = 232711127926927
BaseRepresentation
bin101100011101001000…
…001101010110001010
311120012121200110202200
4230131020031112022
51240224213100323
633532310541030
73306606423210
oct543510152612
9146177613680
1047733331338
1119275248370
129301967776
134669297c74
14244b69acb0
1513958a9443
hexb1d20d58a

47733331338 has 96 divisors (see below), whose sum is σ = 129047592960. Its totient is φ = 12388114080.

The previous prime is 47733331319. The next prime is 47733331397. The reversal of 47733331338 is 83313333774.

It is a super-4 number, since 4×477333313384 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47733331293 and 47733331302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759231 + ... + 1786157.

It is an arithmetic number, because the mean of its divisors is an integer number (1344245760).

Almost surely, 247733331338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47733331338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64523796480).

47733331338 is an abundant number, since it is smaller than the sum of its proper divisors (81314261622).

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

47733331338 is a wasteful number, since it uses less digits than its factorization.

47733331338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28232 (or 28229 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 47733331338 in words is "forty-seven billion, seven hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1279 1386 2558 3837 7674 8953 11511 14069 17906 23022 26859 26927 28138 42207 53718 53854 80577 80781 84414 98483 126621 161154 161562 188489 196966 242343 253242 295449 296197 376978 484686 565467 590898 592394 886347 888591 1130934 1696401 1772694 1777182 2073379 2665773 3392802 4146758 5331546 6220137 12440274 18660411 34439633 37320822 68879266 103318899 206637798 241077431 309956697 378835963 482154862 619913394 723232293 757671926 1136507889 1446464586 2169696879 2273015778 2651851741 3409523667 4339393758 5303703482 6819047334 7955555223 15911110446 23866665669 47733331338