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6946053012 = 22325335310313
BaseRepresentation
bin1100111100000010…
…00101101110010100
3122221002020001102200
412132001011232110
5103211142144022
63105130004500
7334062322263
oct63601055624
918832201380
106946053012
112a44958488
12141a276730
13869098152
1449c7165da
152a9c0ebac
hex19e045b94

6946053012 has 72 divisors (see below), whose sum is σ = 17941780584. Its totient is φ = 2265010176.

The previous prime is 6946052999. The next prime is 6946053017. The reversal of 6946053012 is 2103506496.

It is a happy number.

6946053012 is a `hidden beast` number, since 6 + 9 + 4 + 605 + 30 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1131380496 + 5814672516 = 33636^2 + 76254^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946053017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668368 + ... + 678680.

It is an arithmetic number, because the mean of its divisors is an integer number (249191397).

Almost surely, 26946053012 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 6946053012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970890292).

6946053012 is an abundant number, since it is smaller than the sum of its proper divisors (10995727572).

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

6946053012 is a wasteful number, since it uses less digits than its factorization.

6946053012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6946053012 is about 83342.9841798336. The cubic root of 6946053012 is about 1908.0043675651.

The spelling of 6946053012 in words is "six billion, nine hundred forty-six million, fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 353 477 636 706 954 1059 1412 1908 2118 3177 4236 6354 10313 12708 18709 20626 30939 37418 41252 56127 61878 74836 92817 112254 123756 168381 185634 224508 336762 371268 546589 673524 1093178 1639767 2186356 3279534 3640489 4919301 6559068 7280978 9838602 10921467 14561956 19677204 21842934 32764401 43685868 65528802 131057604 192945917 385891834 578837751 771783668 1157675502 1736513253 2315351004 3473026506 6946053012