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6994554996 = 22311136166821
BaseRepresentation
bin1101000001110100…
…00111000001110100
3200001110111012122110
412200322013001310
5103311101224441
63114021331020
7335221510422
oct64072070164
920043435573
106994554996
112a6a275770
121432566a70
1387614a750
144a4d40112
152ae0e0b16
hex1a0e87074

6994554996 has 96 divisors (see below), whose sum is σ = 19488502656. Its totient is φ = 1924416000.

The previous prime is 6994554913. The next prime is 6994554997.

It is a happy number.

6994554996 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6994554997) 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, 71266 + ... + 138086.

It is an arithmetic number, because the mean of its divisors is an integer number (203005236).

Almost surely, 26994554996 is an apocalyptic number.

6994554996 is a gapful number since it is divisible by the number (66) 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 6994554996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744251328).

6994554996 is an abundant number, since it is smaller than the sum of its proper divisors (12493947660).

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

6994554996 is a wasteful number, since it uses less digits than its factorization.

6994554996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66913 (or 66911 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 66.

The square root of 6994554996 is about 83633.4562002552. The cubic root of 6994554996 is about 1912.4350580195.

The spelling of 6994554996 in words is "six billion, nine hundred ninety-four million, five hundred fifty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 183 244 286 366 429 572 671 732 793 858 1342 1586 1716 2013 2379 2684 3172 4026 4758 8052 8723 9516 17446 26169 34892 52338 66821 104676 133642 200463 267284 400926 735031 801852 868673 1470062 1737346 2205093 2606019 2940124 3474692 4076081 4410186 5212038 8152162 8820372 9555403 10424076 12228243 16304324 19110806 24456486 28666209 38221612 44836891 48912972 52989053 57332418 89673782 105978106 114664836 134510673 158967159 179347564 211956212 269021346 317934318 538042692 582879583 635868636 1165759166 1748638749 2331518332 3497277498 6994554996