Search a number
-
+
49618047936 = 2632317776323
BaseRepresentation
bin101110001101011101…
…110101001111000000
311202001222002222220010
4232031131311033000
51303104210013221
634443314544520
73404403306612
oct561535651700
9152058088803
1049618047936
111a052104896
129748b98140
1348a98aa1a2
142589b06db2
151456098c76
hexb8d7753c0

49618047936 has 112 divisors (see below), whose sum is σ = 137087725824. Its totient is φ = 15808843776.

The previous prime is 49618047929. The next prime is 49618047961. The reversal of 49618047936 is 63974081694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7844071 + ... + 7850393.

It is an arithmetic number, because the mean of its divisors is an integer number (1223997552).

Almost surely, 249618047936 is an apocalyptic number.

49618047936 is a gapful number since it is divisible by the number (46) 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 49618047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68543862912).

49618047936 is an abundant number, since it is smaller than the sum of its proper divisors (87469677888).

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

49618047936 is a wasteful number, since it uses less digits than its factorization.

49618047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 49618047936 in words is "forty-nine billion, six hundred eighteen million, forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 1777 2208 3554 4416 5331 6323 7108 10662 12646 14216 18969 21324 25292 28432 37938 40871 42648 50584 56864 75876 81742 85296 101168 113728 122613 145429 151752 163484 170592 202336 245226 290858 303504 326968 341184 404672 436287 490452 581716 607008 653936 872574 980904 1163432 1214016 1307872 1745148 1961808 2326864 2615744 3490296 3923616 4653728 6980592 7847232 9307456 11235971 13961184 22471942 27922368 33707913 44943884 67415826 89887768 134831652 179775536 258427333 269663304 359551072 516854666 539326608 719102144 775281999 1033709332 1078653216 1550563998 2067418664 2157306432 3101127996 4134837328 6202255992 8269674656 12404511984 16539349312 24809023968 49618047936