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48098677878 = 23919107601
BaseRepresentation
bin101100110010111001…
…111001010001110110
311121011002011000000000
4230302321321101312
51242001230143003
634032441332130
73321634005366
oct546271712166
9147132130000
1048098677878
11194424a4659
1293a4197046
1346c6b95454
1424840009a6
1513b79c51a3
hexb32e79476

48098677878 has 160 divisors (see below), whose sum is σ = 115171943040. Its totient is φ = 15022065600.

The previous prime is 48098677877. The next prime is 48098677883. The reversal of 48098677878 is 87877689084.

It is a happy number.

48098677878 is a `hidden beast` number, since 480 + 9 + 8 + 6 + 7 + 78 + 78 = 666.

It is a super-3 number, since 3×480986778783 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48098677873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80030778 + ... + 80031378.

It is an arithmetic number, because the mean of its divisors is an integer number (719824644).

Almost surely, 248098677878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48098677878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57585971520).

48098677878 is an abundant number, since it is smaller than the sum of its proper divisors (67073265162).

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

48098677878 is an equidigital number, since it uses as much as digits as its factorization.

48098677878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 48098677878 in words is "forty-eight billion, ninety-eight million, six hundred seventy-seven thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 107 114 162 171 214 243 321 342 486 513 601 642 729 963 1026 1202 1458 1539 1803 1926 2033 2187 2889 3078 3606 4066 4374 4617 5409 5778 6099 6561 8667 9234 10818 11419 12198 13122 13851 16227 17334 18297 19683 22838 26001 27702 32454 34257 36594 39366 41553 48681 52002 54891 64307 68514 78003 83106 97362 102771 109782 124659 128614 146043 156006 164673 192921 205542 234009 249318 292086 308313 329346 373977 385842 438129 468018 494019 578763 616626 702027 747954 876258 924939 988038 1157526 1221833 1314387 1404054 1482057 1736289 1849878 2106081 2443666 2628774 2774817 2964114 3472578 3665499 3943161 4212162 4446171 5208867 5549634 7330998 7886322 8324451 8892342 10417734 10996497 11829483 13338513 15626601 16648902 21992994 23658966 24973353 26677026 31253202 32989491 40015539 46879803 49946706 65978982 74920059 80031078 93759606 98968473 140639409 149840118 197936946 224760177 281278818 296905419 421918227 449520354 593810838 843836454 890716257 1265754681 1781432514 2531509362 2672148771 5344297542 8016446313 16032892626 24049338939 48098677878