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6011486964 = 2232744353849
BaseRepresentation
bin1011001100101000…
…00000001011110100
3120111221200011211100
411212110000023310
544302420040324
62432303010100
7301653540030
oct54624001364
916457604740
106011486964
11260536714a
1211b9299930
1374a58b3a2
1441055d1c0
15252b564c9
hex1665002f4

6011486964 has 72 divisors (see below), whose sum is σ = 17406043200. Its totient is φ = 1713658752.

The previous prime is 6011486941. The next prime is 6011486981. The reversal of 6011486964 is 4696841106.

It is a super-2 number, since 2×60114869642 = 72275951036683874592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84712 + ... + 138560.

It is an arithmetic number, because the mean of its divisors is an integer number (241750600).

Almost surely, 26011486964 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 6011486964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703021600).

6011486964 is an abundant number, since it is smaller than the sum of its proper divisors (11394556236).

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

6011486964 is a wasteful number, since it uses less digits than its factorization.

6011486964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54309 (or 54304 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6011486964 is about 77533.7795028722. The cubic root of 6011486964 is about 1818.2794757458.

The spelling of 6011486964 in words is "six billion, eleven million, four hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 886 1329 1772 2658 3101 3987 5316 6202 7974 9303 12404 15948 18606 27909 37212 53849 55818 107698 111636 161547 215396 323094 376943 484641 646188 753886 969282 1130829 1507772 1938564 2261658 3392487 4523316 6784974 13569948 23855107 47710214 71565321 95420428 143130642 166985749 214695963 286261284 333971498 429391926 500957247 667942996 858783852 1001914494 1502871741 2003828988 3005743482 6011486964