Search a number
-
+
47991025664 = 212191035987
BaseRepresentation
bin101100101100011111…
…001111000000000000
311120212120120200220222
4230230133033000000
51241241200310124
634014034122212
73316155662501
oct545437170000
9146776520828
1047991025664
111939775698a
129374120368
1346aa7a290a
1424739baba8
1513ad30d25e
hexb2c7cf000

47991025664 has 104 divisors (see below), whose sum is σ = 102019232640. Its totient is φ = 22508126208.

The previous prime is 47991025657. The next prime is 47991025679. The reversal of 47991025664 is 46652019974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8012879 + ... + 8018865.

It is an arithmetic number, because the mean of its divisors is an integer number (980954160).

Almost surely, 247991025664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47991025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51009616320).

47991025664 is an abundant number, since it is smaller than the sum of its proper divisors (54028206976).

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

47991025664 is a wasteful number, since it uses less digits than its factorization.

47991025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 47991025664 in words is "forty-seven billion, nine hundred ninety-one million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 128 152 206 256 304 412 512 608 824 1024 1216 1648 1957 2048 2432 3296 3914 4096 4864 5987 6592 7828 9728 11974 13184 15656 19456 23948 26368 31312 38912 47896 52736 62624 77824 95792 105472 113753 125248 191584 210944 227506 250496 383168 421888 455012 500992 616661 766336 910024 1001984 1233322 1532672 1820048 2003968 2466644 3065344 3640096 4007936 4933288 6130688 7280192 8015872 9866576 11716559 12261376 14560384 19733152 23433118 24522752 29120768 39466304 46866236 58241536 78932608 93732472 116483072 157865216 187464944 232966144 315730432 374929888 465932288 631460864 749859776 1262921728 1499719552 2525843456 2999439104 5998878208 11997756416 23995512832 47991025664