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61543720080 = 24335181115733
BaseRepresentation
bin111001010100010010…
…101010010010010000
312212212002100220121000
4321110102222102100
52002020143020310
644134531302000
74306052663223
oct712422522220
9185762326530
1061543720080
1124111909887
12bb16a4a900
135a5a51931b
142d9b8d75ba
1519030364c0
hexe544aa490

61543720080 has 160 divisors (see below), whose sum is σ = 212114459520. Its totient is φ = 16401553920.

The previous prime is 61543720061. The next prime is 61543720081. The reversal of 61543720080 is 8002734516.

61543720080 is a `hidden beast` number, since 6 + 15 + 437 + 200 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61543720081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3903894 + ... + 3919626.

It is an arithmetic number, because the mean of its divisors is an integer number (1325715372).

Almost surely, 261543720080 is an apocalyptic number.

61543720080 is a gapful number since it is divisible by the number (60) 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 61543720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057229760).

61543720080 is an abundant number, since it is smaller than the sum of its proper divisors (150570739440).

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

61543720080 is a wasteful number, since it uses less digits than its factorization.

61543720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 61543720080 in words is "sixty-one billion, five hundred forty-three million, seven hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1811 2160 3622 5433 7244 9055 10866 14488 15733 16299 18110 21732 27165 28976 31466 32598 36220 43464 47199 48897 54330 62932 65196 72440 78665 81495 86928 94398 97794 108660 125864 130392 141597 144880 157330 162990 188796 195588 217320 235995 244485 251728 260784 283194 314660 325980 377592 391176 424791 434640 471990 488970 566388 629320 651960 707985 755184 782352 849582 943980 977940 1132776 1258640 1303920 1415970 1699164 1887960 1955880 2123955 2265552 2831940 3398328 3775920 3911760 4247910 5663880 6796656 8495820 11327760 16991640 28492463 33983280 56984926 85477389 113969852 142462315 170954778 227939704 256432167 284924630 341909556 427386945 455879408 512864334 569849260 683819112 769296501 854773890 1025728668 1139698520 1282160835 1367638224 1538593002 1709547780 2051457336 2279397040 2564321670 3077186004 3419095560 3846482505 4102914672 5128643340 6154372008 6838191120 7692965010 10257286680 12308744016 15385930020 20514573360 30771860040 61543720080