Search a number
-
+
49945047152 = 24711135475701
BaseRepresentation
bin101110100000111101…
…001111000001110000
311202220202102021111012
4232200331033001300
51304241413002102
634535555410052
73415453616240
oct564075170160
9152822367435
1049945047152
111a1aa74a180
12981a5b3928
13492c56c150
1425bb307b20
151474b3c752
hexba0f4f070

49945047152 has 160 divisors (see below), whose sum is σ = 130187334144. Its totient is φ = 17926272000.

The previous prime is 49945047109. The next prime is 49945047181. The reversal of 49945047152 is 25174054994.

It is a super-2 number, since 2×499450471522 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49945047152.

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 31 ways as a sum of consecutive naturals, for example, 8757902 + ... + 8763602.

Almost surely, 249945047152 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 49945047152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65093667072).

49945047152 is an abundant number, since it is smaller than the sum of its proper divisors (80242286992).

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

49945047152 is a wasteful number, since it uses less digits than its factorization.

49945047152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 49945047152 in words is "forty-nine billion, nine hundred forty-five million, forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 547 572 616 728 1001 1094 1144 1232 1456 2002 2188 2288 3829 4004 4376 5701 6017 7111 7658 8008 8752 11402 12034 14222 15316 16016 22804 24068 28444 30632 39907 42119 45608 48136 49777 56888 61264 62711 74113 78221 79814 84238 91216 96272 99554 113776 125422 148226 156442 159628 168476 199108 250844 296452 312884 319256 336952 398216 438977 501688 518791 547547 592904 625768 638512 673904 796432 815243 877954 1003376 1037582 1095094 1185808 1251536 1630486 1755908 2075164 2190188 3118447 3260972 3511816 4150328 4380376 5706701 6236894 6521944 7023632 8300656 8760752 11413402 12473788 13043888 21829129 22826804 24947576 34302917 40539811 43658258 45653608 49895152 68605834 81079622 87316516 91307216 137211668 162159244 174633032 240120419 274423336 283778677 324318488 349266064 445937921 480240838 548846672 567557354 648636976 891875842 960481676 1135114708 1783751684 1920963352 2270229416 3121565447 3567503368 3841926704 4540458832 6243130894 7135006736 12486261788 24972523576 49945047152