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48729123720 = 2334516790059
BaseRepresentation
bin101101011000011110…
…110110101110001000
311122210000102222010000
4231120132312232020
51244244123424340
634215202123000
73343360501044
oct553036665610
9148700388100
1048729123720
1119736357982
12953b350460
134797690c24
142503a31024
151403008d30
hexb587b6b88

48729123720 has 160 divisors (see below), whose sum is σ = 164766571200. Its totient is φ = 12916478592.

The previous prime is 48729123713. The next prime is 48729123743. The reversal of 48729123720 is 2732192784.

48729123720 is a `hidden beast` number, since 487 + 29 + 123 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 496051 + ... + 586109.

It is an arithmetic number, because the mean of its divisors is an integer number (1029791070).

Almost surely, 248729123720 is an apocalyptic number.

48729123720 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 48729123720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82383285600).

48729123720 is an abundant number, since it is smaller than the sum of its proper divisors (116037447480).

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

48729123720 is a wasteful number, since it uses less digits than its factorization.

48729123720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90249 (or 90236 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 48729123720 in words is "forty-eight billion, seven hundred twenty-nine million, one hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 167 180 216 270 324 334 360 405 501 540 648 668 810 835 1002 1080 1336 1503 1620 1670 2004 2505 3006 3240 3340 4008 4509 5010 6012 6680 7515 9018 10020 12024 13527 15030 18036 20040 22545 27054 30060 36072 45090 54108 60120 67635 90059 90180 108216 135270 180118 180360 270177 270540 360236 450295 540354 541080 720472 810531 900590 1080708 1350885 1621062 1801180 2161416 2431593 2701770 3242124 3602360 4052655 4863186 5403540 6484248 7294779 8105310 9726372 10807080 12157965 14589558 15039853 16210620 19452744 24315930 29179116 30079706 32421240 36473895 45119559 48631860 58358232 60159412 72947790 75199265 90239118 97263720 120318824 135358677 145895580 150398530 180478236 225597795 270717354 291791160 300797060 360956472 406076031 451195590 541434708 601594120 676793385 812152062 902391180 1082869416 1218228093 1353586770 1624304124 1804782360 2030380155 2436456186 2707173540 3248608248 4060760310 4872912372 5414347080 6091140465 8121520620 9745824744 12182280930 16243041240 24364561860 48729123720