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48605643688 = 2373231315879
BaseRepresentation
bin101101010001000111…
…110100001110101000
311122110102002112100111
4231101013310032220
51244021021044223
634155031344104
73340331104000
oct552107641650
9148412075314
1048605643688
1119682689568
129505b22034
134777c19014
1424d148b000
1513e726730d
hexb511f43a8

48605643688 has 128 divisors (see below), whose sum is σ = 111767040000. Its totient is φ = 19769830080.

The previous prime is 48605643683. The next prime is 48605643689. The reversal of 48605643688 is 88634650684.

It is not an unprimeable number, because it can be changed into a prime (48605643683) by changing a digit.

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, 8264733 + ... + 8270611.

It is an arithmetic number, because the mean of its divisors is an integer number (873180000).

Almost surely, 248605643688 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 48605643688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520000).

48605643688 is an abundant number, since it is smaller than the sum of its proper divisors (63161396312).

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

48605643688 is a wasteful number, since it uses less digits than its factorization.

48605643688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 58.

The spelling of 48605643688 in words is "forty-eight billion, six hundred five million, six hundred forty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 131 161 184 196 262 322 343 392 524 644 686 917 1048 1127 1288 1372 1834 2254 2744 3013 3668 4508 5879 6026 6419 7336 7889 9016 11758 12052 12838 15778 21091 23516 24104 25676 31556 41153 42182 44933 47032 51352 63112 82306 84364 89866 135217 147637 164612 168728 179732 270434 288071 295274 329224 359464 540868 576142 590548 770149 946519 1033459 1081736 1152284 1181096 1540298 1893038 2016497 2066918 2304568 3080596 3786076 4032994 4133836 5391043 6161192 6625633 7572152 8065988 8267672 10782086 13251266 16131976 17713427 21564172 26502532 35426854 37737301 43128344 46379431 53005064 70853708 75474602 92758862 123993989 141707416 150949204 185517724 247987978 264161107 301898408 371035448 495975956 528322214 867957923 991951912 1056644428 1735915846 2113288856 3471831692 6075705461 6943663384 12151410922 24302821844 48605643688