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49900858224 = 24373112013989
BaseRepresentation
bin101110011110010100…
…101010101101110000
311202210200021020200020
4232132110222231300
51304144104430344
634531340323440
73414406203450
oct563624525560
9152720236606
1049900858224
111a1878083a8
129807843580
134923369a59
1425b54c3d60
151470d0e719
hexb9e52ab70

49900858224 has 160 divisors (see below), whose sum is σ = 152243589120. Its totient is φ = 13782528000.

The previous prime is 49900858199. The next prime is 49900858237. The reversal of 49900858224 is 42285800994.

It is a Cunningham number, because it is equal to 2233852-1.

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 31 ways as a sum of consecutive naturals, for example, 12507622 + ... + 12511610.

It is an arithmetic number, because the mean of its divisors is an integer number (951522432).

Almost surely, 249900858224 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 49900858224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76121794560).

49900858224 is an abundant number, since it is smaller than the sum of its proper divisors (102342730896).

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

49900858224 is a wasteful number, since it uses less digits than its factorization.

49900858224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 49900858224 in words is "forty-nine billion, nine hundred million, eight hundred fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1201 1302 1488 1736 2402 2604 3472 3603 3989 4804 5208 7206 7978 8407 9608 10416 11967 14412 15956 16814 19216 23934 25221 27923 28824 31912 33628 37231 47868 50442 55846 57648 63824 67256 74462 83769 95736 100884 111692 111693 123659 134512 148924 167538 191472 201768 223384 223386 247318 260617 297848 335076 370977 403536 446768 446772 494636 521234 595696 670152 741954 781851 865613 893544 989272 1042468 1340304 1483908 1563702 1731226 1787088 1978544 2084936 2596839 2967816 3127404 3462452 4169872 4790789 5193678 5935632 6254808 6924904 9581578 10387356 12509616 13849808 14372367 19163156 20774712 28744734 33535523 38326312 41549424 57489468 67071046 76652624 100606569 114978936 134142092 148514459 201213138 229957872 268284184 297028918 402426276 445543377 536568368 594057836 804852552 891086754 1039601213 1188115672 1609705104 1782173508 2079202426 2376231344 3118803639 3564347016 4158404852 6237607278 7128694032 8316809704 12475214556 16633619408 24950429112 49900858224