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49468132152 = 23325379164093
BaseRepresentation
bin101110000100100001…
…111100101100111000
311201200112000111002200
4232010201330230320
51302302320212102
634420401430200
73400603120425
oct560441745470
9151615014080
1049468132152
1119a8551a94a
12970693b360
13488480a71a
142573c40d4c
151447d3451c
hexb8487cb38

49468132152 has 96 divisors (see below), whose sum is σ = 138232785600. Its totient is φ = 15973371648.

The previous prime is 49468132141. The next prime is 49468132183. The reversal of 49468132152 is 25123186494.

49468132152 is a `hidden beast` number, since 4 + 9 + 468 + 1 + 32 + 152 = 666.

It is a super-2 number, since 2×494681321522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49468132098 and 49468132107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219418 + ... + 383510.

It is an arithmetic number, because the mean of its divisors is an integer number (1439924850).

Almost surely, 249468132152 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 49468132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69116392800).

49468132152 is an abundant number, since it is smaller than the sum of its proper divisors (88764653448).

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

49468132152 is a wasteful number, since it uses less digits than its factorization.

49468132152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164237 (or 164230 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 49468132152 in words is "forty-nine billion, four hundred sixty-eight million, one hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 79 106 158 159 212 237 316 318 424 474 477 632 636 711 948 954 1272 1422 1896 1908 2844 3816 4187 5688 8374 12561 16748 25122 33496 37683 50244 75366 100488 150732 164093 301464 328186 492279 656372 984558 1312744 1476837 1969116 2953674 3938232 5907348 8696929 11814696 12963347 17393858 25926694 26090787 34787716 38890041 51853388 52181574 69575432 77780082 78272361 103706776 104363148 116670123 155560164 156544722 208726296 233340246 311120328 313089444 466680492 626178888 687057391 933360984 1374114782 2061172173 2748229564 4122344346 5496459128 6183516519 8244688692 12367033038 16489377384 24734066076 49468132152