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61331227560 = 23325612792861
BaseRepresentation
bin111001000111101000…
…000100001110101000
312212022021112011122200
4321013220010032220
52001101243240220
644101501020200
74300562555421
oct710750041650
9185267464580
1061331227560
1124012974029
12ba77854660
135a254a9ac5
142d7b5c2648
1518de560890
hexe47a043a8

61331227560 has 96 divisors (see below), whose sum is σ = 202594209480. Its totient is φ = 16086873600.

The previous prime is 61331227547. The next prime is 61331227561. The reversal of 61331227560 is 6572213316.

61331227560 is a `hidden beast` number, since 6 + 13 + 312 + 275 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30659309604 + 30671917956 = 175098^2 + 175134^2 .

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 (61331227561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374471 + ... + 1418390.

Almost surely, 261331227560 is an apocalyptic number.

61331227560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61331227560 is an abundant number, since it is smaller than the sum of its proper divisors (141262981920).

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

61331227560 is a wasteful number, since it uses less digits than its factorization.

61331227560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792939 (or 2792932 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 61331227560 in words is "sixty-one billion, three hundred thirty-one million, two hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 2792861 5585722 8378583 11171444 13964305 16757166 22342888 25135749 27928610 33514332 41892915 50271498 55857220 67028664 83785830 100542996 111714440 125678745 167571660 170364521 201085992 251357490 335143320 340729042 502714980 511093563 681458084 851822605 1005429960 1022187126 1362916168 1533280689 1703645210 2044374252 2555467815 3066561378 3407290420 4088748504 5110935630 6133122756 6814580840 7666403445 10221871260 12266245512 15332806890 20443742520 30665613780 61331227560