Search a number
-
+
49914452736 = 283239895431
BaseRepresentation
bin101110011111001000…
…100001101100000000
311202211121211220211200
4232133020201230000
51304211044441421
634532543541200
73414632563551
oct563710415400
9152747756750
1049914452736
111a194453135
1298102ba800
134926119745
1425b7222328
1514720e7726
hexb9f221b00

49914452736 has 108 divisors (see below), whose sum is σ = 143978256240. Its totient is φ = 16630917120.

The previous prime is 49914452713. The next prime is 49914452741. The reversal of 49914452736 is 63725441994.

49914452736 is a `hidden beast` number, since 49 + 9 + 1 + 44 + 527 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9187941 + ... + 9193371.

Almost surely, 249914452736 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 49914452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71989128120).

49914452736 is an abundant number, since it is smaller than the sum of its proper divisors (94063803504).

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

49914452736 is a wasteful number, since it uses less digits than its factorization.

49914452736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9425 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 49914452736 in words is "forty-nine billion, nine hundred fourteen million, four hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3989 5431 7978 10862 11967 15956 16293 21724 23934 31912 32586 35901 43448 47868 48879 63824 65172 71802 86896 95736 97758 127648 130344 143604 173792 191472 195516 255296 260688 287208 347584 382944 391032 510592 521376 574416 695168 765888 782064 1021184 1042752 1148832 1390336 1531776 1564128 2085504 2297664 3063552 3128256 4171008 4595328 6256512 9190656 12513024 21664259 43328518 64992777 86657036 129985554 173314072 194978331 259971108 346628144 389956662 519942216 693256288 779913324 1039884432 1386512576 1559826648 2079768864 2773025152 3119653296 4159537728 5546050304 6239306592 8319075456 12478613184 16638150912 24957226368 49914452736