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49805250894 = 23373733710567
BaseRepresentation
bin101110011000100111…
…111101000101001110
311202120000100220002000
4232120213331011032
51304000121012034
634514043213130
73412135435050
oct563047750516
9152500326060
1049805250894
111a138847183
12979b8171a6
134909603779
1425a69178d0
151467726599
hexb989fd14e

49805250894 has 128 divisors (see below), whose sum is σ = 130305976320. Its totient is φ = 13803084288.

The previous prime is 49805250889. The next prime is 49805250919.

It is a happy number.

49805250894 is a `hidden beast` number, since 4 + 9 + 80 + 52 + 508 + 9 + 4 = 666.

49805250894 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×498052508942 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49805250894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4707999 + ... + 4718565.

It is an arithmetic number, because the mean of its divisors is an integer number (1018015440).

Almost surely, 249805250894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49805250894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65152988160).

49805250894 is an abundant number, since it is smaller than the sum of its proper divisors (80500725426).

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

49805250894 is a wasteful number, since it uses less digits than its factorization.

49805250894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 49805250894 in words is "forty-nine billion, eight hundred five million, two hundred fifty thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 337 378 518 666 674 777 999 1011 1554 1998 2022 2331 2359 3033 4662 4718 6066 6993 7077 9099 10567 12469 13986 14154 18198 21134 21231 24938 31701 37407 42462 63402 63693 73969 74814 87283 95103 112221 127386 147938 174566 190206 221907 224442 261849 285309 336663 390979 443814 523698 570618 665721 673326 781958 785547 1172937 1331442 1571094 1997163 2345874 2356641 2736853 3518811 3561079 3994326 4713282 5473706 7037622 7122158 8210559 10556433 10683237 16421118 21112866 21366474 24631677 24927553 32049711 49263354 49855106 64099422 73895031 74782659 96149133 131759923 147790062 149565318 192298266 224347977 263519846 395279769 448695954 673043931 790559538 922319461 1185839307 1346087862 1844638922 2371678614 2766958383 3557517921 5533916766 7115035842 8300875149 16601750298 24902625447 49805250894