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61222536540 = 223251161506893
BaseRepresentation
bin111001000001001001…
…011100010101011100
312212000201000002121100
4321001021130111130
52000340432132130
644043015233100
74265102655114
oct710111342534
9185021002540
1061222536540
1123a67586940
12ba47378790
135a08b124a9
142d6adac044
1518d4c40c60
hexe4125c55c

61222536540 has 144 divisors (see below), whose sum is σ = 205912508256. Its totient is φ = 14598489600.

The previous prime is 61222536539. The next prime is 61222536569. The reversal of 61222536540 is 4563522216.

61222536540 is a `hidden beast` number, since 61 + 2 + 2 + 2 + 53 + 6 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61222536495 and 61222536504.

It is a congruent number.

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, 132667 + ... + 374226.

It is an arithmetic number, because the mean of its divisors is an integer number (1429947974).

Almost surely, 261222536540 is an apocalyptic number.

61222536540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61222536540 is an abundant number, since it is smaller than the sum of its proper divisors (144689971716).

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

61222536540 is a wasteful number, since it uses less digits than its factorization.

61222536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506980 (or 506975 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 61222536540 in words is "sixty-one billion, two hundred twenty-two million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 10065 10980 12078 13420 20130 24156 30195 40260 60390 120780 506893 1013786 1520679 2027572 2534465 3041358 4562037 5068930 5575823 6082716 7603395 9124074 10137860 11151646 15206790 16727469 18248148 22303292 22810185 27879115 30413580 30920473 33454938 45620370 50182407 55758230 61840946 66909876 83637345 91240740 92761419 100364814 111516460 123681892 154602365 167274690 185522838 200729628 250912035 278284257 309204730 334549380 340125203 371045676 463807095 501824070 556568514 618409460 680250406 927614190 1003648140 1020375609 1113137028 1360500812 1391421285 1700626015 1855228380 2040751218 2782842570 3061126827 3401252030 4081502436 5101878045 5565685140 6122253654 6802504060 10203756090 12244507308 15305634135 20407512180 30611268270 61222536540