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48189125712 = 24371335331253
BaseRepresentation
bin101100111000010010…
…111011010001010000
311121101101100020002210
4230320102323101100
51242142404010322
634045432112120
73324112544610
oct547022732120
9147341306083
1048189125712
1119489561432
12940a535640
13470c843190
142492026a40
1513c08de70c
hexb384bb450

48189125712 has 160 divisors (see below), whose sum is σ = 153655665408. Its totient is φ = 12672811008.

The previous prime is 48189125693. The next prime is 48189125741. The reversal of 48189125712 is 21752198184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526278 + ... + 1557530.

Almost surely, 248189125712 is an apocalyptic number.

48189125712 is a gapful number since it is divisible by the number (42) 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 48189125712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76827832704).

48189125712 is an abundant number, since it is smaller than the sum of its proper divisors (105466539696).

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

48189125712 is a wasteful number, since it uses less digits than its factorization.

48189125712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31637 (or 31631 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The spelling of 48189125712 in words is "forty-eight billion, one hundred eighty-nine million, one hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 353 364 546 624 706 728 1059 1092 1412 1456 2118 2184 2471 2824 4236 4368 4589 4942 5648 7413 8472 9178 9884 13767 14826 16944 18356 19768 27534 29652 31253 32123 36712 39536 55068 59304 62506 64246 73424 93759 96369 110136 118608 125012 128492 187518 192738 218771 220272 250024 256984 375036 385476 406289 437542 500048 513968 656313 750072 770952 812578 875084 1218867 1312626 1500144 1541904 1625156 1750168 2437734 2625252 2844023 3250312 3500336 4875468 5250504 5688046 6500624 8532069 9750936 10501008 11032309 11376092 17064138 19501872 22064618 22752184 33096927 34128276 44129236 45504368 66193854 68256552 77226163 88258472 132387708 136513104 143420017 154452326 176516944 231678489 264775416 286840034 308904652 430260051 463356978 529550832 573680068 617809304 860520102 926713956 1003940119 1147360136 1235618608 1721040204 1853427912 2007880238 2294720272 3011820357 3442080408 3706855824 4015760476 6023640714 6884160816 8031520952 12047281428 16063041904 24094562856 48189125712