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6001060992 = 27352329881
BaseRepresentation
bin1011001011011000…
…01110110010000000
3120111020001111002020
411211230032302000
544242232422432
62431251321440
7301466114433
oct54554166200
916436044066
106001060992
1125aa495a43
1211b58b0280
1374837a984
1440d00781a
15251c9722c
hex165b0ec80

6001060992 has 64 divisors (see below), whose sum is σ = 15971331360. Its totient is φ = 1996462080.

The previous prime is 6001060991. The next prime is 6001061029. The reversal of 6001060992 is 2990601006.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6001060991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185892 + ... + 215772.

Almost surely, 26001060992 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 6001060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985665680).

6001060992 is an abundant number, since it is smaller than the sum of its proper divisors (9970270368).

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

6001060992 is a wasteful number, since it uses less digits than its factorization.

6001060992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30421 (or 30409 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 6001060992 is about 77466.5152953197. The cubic root of 6001060992 is about 1817.2276948756.

Adding to 6001060992 its reverse (2990601006), we get a palindrome (8991661998).

The spelling of 6001060992 in words is "six billion, one million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 523 1046 1569 2092 3138 4184 6276 8368 12552 16736 25104 29881 33472 50208 59762 66944 89643 100416 119524 179286 200832 239048 358572 478096 717144 956192 1434288 1912384 2868576 3824768 5737152 11474304 15627763 31255526 46883289 62511052 93766578 125022104 187533156 250044208 375066312 500088416 750132624 1000176832 1500265248 2000353664 3000530496 6001060992