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6011020000 = 2554378123
BaseRepresentation
bin1011001100100100…
…01110001011100000
3120111220210110021101
411212102032023200
544302310120000
62432245004144
7301646553436
oct54622161340
916456713241
106011020000
112605078327
1211b90b3654
1374a45698b
1441047ad56
15252ab2e6a
hex16648e2e0

6011020000 has 120 divisors (see below), whose sum is σ = 15189556536. Its totient is φ = 2339136000.

The previous prime is 6011019983. The next prime is 6011020003. The reversal of 6011020000 is 201106.

It is a super-2 number, since 2×60110200002 = 72264722880800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 735939 + ... + 744061.

Almost surely, 26011020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594778268).

6011020000 is an abundant number, since it is smaller than the sum of its proper divisors (9178536536).

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

6011020000 is an equidigital number, since it uses as much as digits as its factorization.

6011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 6011020000 is about 77530.7680859670. The cubic root of 6011020000 is about 1818.2323940477.

Adding to 6011020000 its reverse (201106), we get a palindrome (6011221106).

The spelling of 6011020000 in words is "six billion, eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 8123 9250 10000 14800 16246 18500 20000 23125 29600 32492 37000 40615 46250 64984 74000 81230 92500 129968 148000 162460 185000 203075 259936 300551 324920 370000 406150 601102 649840 740000 812300 1015375 1202204 1299680 1502755 1624600 2030750 2404408 3005510 3249200 4061500 4808816 5076875 6011020 6498400 7513775 8123000 9617632 10153750 12022040 15027550 16246000 20307500 24044080 30055100 32492000 37568875 40615000 48088160 60110200 75137750 81230000 120220400 150275500 162460000 187844375 240440800 300551000 375688750 601102000 751377500 1202204000 1502755000 3005510000 6011020000