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56661061500 = 22325347267901
BaseRepresentation
bin110100110001010000…
…110010111101111100
312102020210210011012100
4310301100302331330
51412020212432000
642010231105100
74044054035061
oct646120627574
9172223704170
1056661061500
112203676815a
12ab93812190
13545ca93534
142a5725cc68
15171955ca00
hexd31432f7c

56661061500 has 144 divisors (see below), whose sum is σ = 182550566016. Its totient is φ = 14788080000.

The previous prime is 56661061493. The next prime is 56661061543. The reversal of 56661061500 is 516016665.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 77550 + ... + 345450.

It is an arithmetic number, because the mean of its divisors is an integer number (1267712264).

Almost surely, 256661061500 is an apocalyptic number.

56661061500 is a gapful number since it is divisible by the number (50) 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 56661061500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275283008).

56661061500 is an abundant number, since it is smaller than the sum of its proper divisors (125889504516).

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

56661061500 is a wasteful number, since it uses less digits than its factorization.

56661061500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267973 (or 267958 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56661061500 in words is "fifty-six billion, six hundred sixty-one million, sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 125 141 150 180 188 225 235 250 282 300 375 423 450 470 500 564 705 750 846 900 940 1125 1175 1410 1500 1692 2115 2250 2350 2820 3525 4230 4500 4700 5875 7050 8460 10575 11750 14100 17625 21150 23500 35250 42300 52875 70500 105750 211500 267901 535802 803703 1071604 1339505 1607406 2411109 2679010 3214812 4018515 4822218 5358020 6697525 8037030 9644436 12055545 12591347 13395050 16074060 20092575 24111090 25182694 26790100 33487625 37774041 40185150 48222180 50365388 60277725 62956735 66975250 75548082 80370300 100462875 113322123 120555450 125913470 133950500 151096164 188870205 200925750 226644246 241110900 251826940 301388625 314783675 377740410 401851500 453288492 566610615 602777250 629567350 755480820 944351025 1133221230 1205554500 1259134700 1573918375 1888702050 2266442460 2833053075 3147836750 3777404100 4721755125 5666106150 6295673500 9443510250 11332212300 14165265375 18887020500 28330530750 56661061500