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14948368570980 = 223251311935354729
BaseRepresentation
bin1101100110000111000000…
…1100101101101001100100
31221221001100111201000201200
43121201300030231221210
53424403224323232410
651443104040522500
73101661336244035
oct331416014555144
957831314630650
1014948368570980
11484362739a789
121815116480430
13845818491750
1439970d62ca8c
151adc949633c0
hexd987032da64

14948368570980 has 144 divisors (see below), whose sum is σ = 48872278007280. Its totient is φ = 3676513406976.

The previous prime is 14948368570979. The next prime is 14948368571027. The reversal of 14948368570980 is 8907586384941.

14948368570980 is a `hidden beast` number, since 1 + 4 + 9 + 48 + 3 + 6 + 8 + 570 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3988719963684 + 10959648607296 = 1997178^2 + 3310536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14948368570899 and 14948368570908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114256 + ... + 5468984.

It is an arithmetic number, because the mean of its divisors is an integer number (339390819495).

Almost surely, 214948368570980 is an apocalyptic number.

14948368570980 is a gapful number since it is divisible by the number (10) 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 14948368570980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436139003640).

14948368570980 is an abundant number, since it is smaller than the sum of its proper divisors (33923909436300).

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

14948368570980 is a wasteful number, since it uses less digits than its factorization.

14948368570980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355950 (or 5355945 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 14948368570980 in words is "fourteen trillion, nine hundred forty-eight billion, three hundred sixty-eight million, five hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1193 2340 2386 3579 4772 5965 7158 10737 11930 14316 15509 17895 21474 23860 31018 35790 42948 46527 53685 62036 71580 77545 93054 107370 139581 155090 186108 214740 232635 279162 310180 465270 558324 697905 930540 1395810 2791620 5354729 10709458 16064187 21418916 26773645 32128374 48192561 53547290 64256748 69611477 80320935 96385122 107094580 139222954 160641870 192770244 208834431 240962805 278445908 321283740 348057385 417668862 481925610 626503293 696114770 835337724 963851220 1044172155 1253006586 1392229540 2088344310 2506013172 3132516465 4176688620 6265032930 6388191697 12530065860 12776383394 19164575091 25552766788 31940958485 38329150182 57493725273 63881916970 76658300364 83046492061 95822875455 114987450546 127763833940 166092984122 191645750910 229974901092 249139476183 287468626365 332185968244 383291501820 415232460305 498278952366 574937252730 747418428549 830464920610 996557904732 1149874505460 1245697380915 1494836857098 1660929841220 2491394761830 2989673714196 3737092142745 4982789523660 7474184285490 14948368570980