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48852693760 = 2851312723117
BaseRepresentation
bin101101011111110110…
…001111001100000000
311200002121221222100011
4231133312033030000
51300022242200020
634235334434304
73346421021413
oct553766171400
9150077858304
1048852693760
111979a087982
129574802994
1347b7167ab0
1425161d9b7a
15140dcb735a
hexb5fd8f300

48852693760 has 144 divisors (see below), whose sum is σ = 127016580096. Its totient is φ = 17895112704.

The previous prime is 48852693713. The next prime is 48852693779. The reversal of 48852693760 is 6739625884.

It is a junction number, because it is equal to n+sod(n) for n = 48852693695 and 48852693704.

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 15 ways as a sum of consecutive naturals, for example, 2101722 + ... + 2124838.

It is an arithmetic number, because the mean of its divisors is an integer number (882059584).

Almost surely, 248852693760 is an apocalyptic number.

48852693760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48852693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63508290048).

48852693760 is an abundant number, since it is smaller than the sum of its proper divisors (78163886336).

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

48852693760 is a wasteful number, since it uses less digits than its factorization.

48852693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278 (or 23264 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 48852693760 in words is "forty-eight billion, eight hundred fifty-two million, six hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6604 8128 8255 8320 10160 13208 16256 16510 16640 20320 23117 26416 32512 33020 40640 46234 52832 66040 81280 92468 105664 115585 132080 162560 184936 211328 231170 264160 300521 369872 422656 462340 528320 601042 739744 924680 1056640 1202084 1479488 1502605 1849360 2113280 2404168 2935859 2958976 3005210 3698720 4808336 5871718 5917952 6010420 7397440 9616672 11743436 12020840 14679295 14794880 19233344 23486872 24041680 29358590 29589760 38166167 38466688 46973744 48083360 58717180 76332334 76933376 93947488 96166720 117434360 152664668 187894976 190830835 192333440 234868720 305329336 375789952 381661670 384666880 469737440 610658672 751579904 763323340 939474880 1221317344 1526646680 1878949760 2442634688 3053293360 3757899520 4885269376 6106586720 9770538752 12213173440 24426346880 48852693760