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49648104688 = 24713833111321
BaseRepresentation
bin101110001111010000…
…011111010011110000
311202011001200001000011
4232033100133103300
51303134403322223
634450311104304
73405216632620
oct561720372360
9152131601004
1049648104688
111a068073986
129757072094
1348b2ba1c50
14258dacc880
151458a3480d
hexb8f41f4f0

49648104688 has 160 divisors (see below), whose sum is σ = 120294300672. Its totient is φ = 19327334400.

The previous prime is 49648104677. The next prime is 49648104689. The reversal of 49648104688 is 88640184694.

It is a super-2 number, since 2×496481046882 (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 (49648104689) by changing a digit.

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, 37583068 + ... + 37584388.

Almost surely, 249648104688 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 49648104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147150336).

49648104688 is an abundant number, since it is smaller than the sum of its proper divisors (70646195984).

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

49648104688 is a wasteful number, since it uses less digits than its factorization.

49648104688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 49648104688 in words is "forty-nine billion, six hundred forty-eight million, one hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 311 332 364 581 622 664 728 1079 1162 1244 1321 1328 1456 2158 2177 2324 2488 2642 4043 4316 4354 4648 4976 5284 7553 8086 8632 8708 9247 9296 10568 15106 16172 17173 17264 17416 18494 21136 25813 28301 30212 32344 34346 34832 36988 51626 56602 60424 64688 68692 73976 103252 109643 113204 120211 120848 137384 147952 180691 206504 219286 226408 240422 274768 335569 361382 410831 413008 438572 452816 480844 671138 722764 767501 821662 877144 961688 1342276 1425359 1445528 1535002 1643324 1754288 1923376 2348983 2684552 2850718 2875817 2891056 3070004 3286648 4697966 5340803 5369104 5701436 5751634 6140008 6573296 9395932 9977513 10681606 11402872 11503268 12280016 18791864 19955026 21363212 22805744 23006536 34098973 37385621 37583728 39910052 42726424 46013072 68197946 74771242 79820104 85452848 136395892 149542484 159640208 238692811 272791784 299084968 443286649 477385622 545583568 598169936 886573298 954771244 1773146596 1909542488 3103006543 3546293192 3819084976 6206013086 7092586384 12412026172 24824052344 49648104688