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6997906480 = 2452916071877
BaseRepresentation
bin1101000010001101…
…11001010000110000
3200001200210111000111
412201012321100300
5103312431001410
63114221231104
7335262136465
oct64106712060
920050714014
106997906480
112a71154794
121433702494
13876a52086
144a557366c
152ae553b8a
hex1a11b9430

6997906480 has 80 divisors (see below), whose sum is σ = 16850617920. Its totient is φ = 2699518976.

The previous prime is 6997906471. The next prime is 6997906481. The reversal of 6997906480 is 846097996.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×69979064803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (6997906481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3727302 + ... + 3729178.

It is an arithmetic number, because the mean of its divisors is an integer number (210632724).

Almost surely, 26997906480 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 6997906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425308960).

6997906480 is an abundant number, since it is smaller than the sum of its proper divisors (9852711440).

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

6997906480 is a wasteful number, since it uses less digits than its factorization.

6997906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The square root of 6997906480 is about 83653.4905428339. The cubic root of 6997906480 is about 1912.7404609154.

The spelling of 6997906480 in words is "six billion, nine hundred ninety-seven million, nine hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1607 1877 2320 3214 3754 6428 7508 8035 9385 12856 15016 16070 18770 25712 30032 32140 37540 46603 54433 64280 75080 93206 108866 128560 150160 186412 217732 233015 272165 372824 435464 466030 544330 745648 870928 932060 1088660 1864120 2177320 3016339 3728240 4354640 6032678 12065356 15081695 24130712 30163390 48261424 60326780 87473831 120653560 174947662 241307120 349895324 437369155 699790648 874738310 1399581296 1749476620 3498953240 6997906480