Search a number
-
+
49663261632 = 2634214631327
BaseRepresentation
bin101110010000001010…
…010011101111000000
311202012010012002102110
4232100022103233000
51303202243333012
634452012015320
73405462521145
oct562012235700
9152163162373
1049663261632
111a075686586
129760161540
1348b607ab5a
142591b163cc
15145a02a73c
hexb90293bc0

49663261632 has 112 divisors (see below), whose sum is σ = 132096776192. Its totient is φ = 16467010560.

The previous prime is 49663261603. The next prime is 49663261679. The reversal of 49663261632 is 23616236694.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37424553 + ... + 37425879.

Almost surely, 249663261632 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 49663261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66048388096).

49663261632 is an abundant number, since it is smaller than the sum of its proper divisors (82433514560).

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

49663261632 is a wasteful number, since it uses less digits than its factorization.

49663261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2216 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The spelling of 49663261632 in words is "forty-nine billion, six hundred sixty-three million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 463 842 926 1263 1327 1389 1684 1852 2526 2654 2778 3368 3704 3981 5052 5308 5556 6736 7408 7962 10104 10616 11112 13472 14816 15924 20208 21232 22224 26944 29632 31848 40416 42464 44448 63696 80832 84928 88896 127392 194923 254784 389846 558667 584769 614401 779692 1117334 1169538 1228802 1559384 1676001 1843203 2234668 2339076 2457604 3118768 3352002 3686406 4469336 4678152 4915208 6237536 6704004 7372812 8938672 9356304 9830416 12475072 13408008 14745624 17877344 18712608 19660832 26816016 29491248 35754688 37425216 39321664 53632032 58982496 107264064 117964992 258662821 517325642 775988463 1034651284 1551976926 2069302568 3103953852 4138605136 6207907704 8277210272 12415815408 16554420544 24831630816 49663261632