Search a number
-
+
49772897104 = 2472232418269
BaseRepresentation
bin101110010110101100…
…100010001101010000
311202110202111011000111
4232112230202031100
51303413330201404
634510525531104
73411263434120
oct562654421520
9152422434014
1049772897104
111a121559307
129790a13a94
1349029b6308
1425a24d4c80
151464985104
hexb96b22350

49772897104 has 80 divisors (see below), whose sum is σ = 111178439680. Its totient is φ = 21144913920.

The previous prime is 49772897093. The next prime is 49772897107. The reversal of 49772897104 is 40179827794.

It is a super-2 number, since 2×497728971042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49772897107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6015082 + ... + 6023350.

It is an arithmetic number, because the mean of its divisors is an integer number (1389730496).

Almost surely, 249772897104 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 49772897104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55589219840).

49772897104 is an abundant number, since it is smaller than the sum of its proper divisors (61405542576).

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

49772897104 is a wasteful number, since it uses less digits than its factorization.

49772897104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 49772897104 in words is "forty-nine billion, seven hundred seventy-two million, eight hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 241 446 482 892 964 1561 1687 1784 1928 3122 3374 3568 3856 6244 6748 8269 12488 13496 16538 24976 26992 33076 53743 57883 66152 107486 115766 132304 214972 231532 376201 429944 463064 752402 859888 926128 1504804 1843987 1992829 3009608 3687974 3985658 6019216 7375948 7971316 12907909 13949803 14751896 15942632 25815818 27899606 29503792 31885264 51631636 55799212 103263272 111598424 206526544 223196848 444400867 888801734 1777603468 3110806069 3555206936 6221612138 7110413872 12443224276 24886448552 49772897104