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61010605560 = 2335738098609
BaseRepresentation
bin111000110100100000…
…111111010111111000
312211110221012212221210
4320310200333113320
51444422203334220
644010005003120
74256620406412
oct706440772770
9184427185853
1061010605560
1123968994a73
12b9a83b34a0
1359a3c3b748
142d4aba19b2
1518c132b6e0
hexe3483f5f8

61010605560 has 128 divisors (see below), whose sum is σ = 185790024000. Its totient is φ = 16024928256.

The previous prime is 61010605493. The next prime is 61010605561. The reversal of 61010605560 is 6550601016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61010605561) 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, 7082536 + ... + 7091144.

Almost surely, 261010605560 is an apocalyptic number.

61010605560 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 61010605560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92895012000).

61010605560 is an abundant number, since it is smaller than the sum of its proper divisors (124779418440).

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

61010605560 is a wasteful number, since it uses less digits than its factorization.

61010605560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 61010605560 in words is "sixty-one billion, ten million, six hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 809 876 1095 1460 1618 1752 2190 2427 2920 3236 4045 4380 4854 6472 8090 8609 8760 9708 12135 16180 17218 19416 24270 25827 32360 34436 43045 48540 51654 59057 68872 86090 97080 103308 118114 129135 172180 177171 206616 236228 258270 295285 344360 354342 472456 516540 590570 628457 708684 885855 1033080 1181140 1256914 1417368 1771710 1885371 2362280 2513828 3142285 3543420 3770742 5027656 6284570 6964681 7086840 7541484 9426855 12569140 13929362 15082968 18853710 20894043 25138280 27858724 34823405 37707420 41788086 55717448 69646810 75414840 83576172 104470215 139293620 167152344 208940430 278587240 417880860 508421713 835761720 1016843426 1525265139 2033686852 2542108565 3050530278 4067373704 5084217130 6101060556 7626325695 10168434260 12202121112 15252651390 20336868520 30505302780 61010605560