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6997153344 = 263311378581
BaseRepresentation
bin1101000010001000…
…00001011001000000
3200001122101012220120
412201010001121000
5103312232401334
63114153140240
7335252551656
oct64104013100
920048335816
106997153344
112a7078a965
1214333ba680
1387684a32c
144a5418dd6
152ae455949
hex1a1101640

6997153344 has 112 divisors (see below), whose sum is σ = 19252240896. Its totient is φ = 2240409600.

The previous prime is 6997153327. The next prime is 6997153391. The reversal of 6997153344 is 4433517996.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811134 + ... + 819714.

It is an arithmetic number, because the mean of its divisors is an integer number (171895008).

Almost surely, 26997153344 is an apocalyptic number.

6997153344 is a gapful number since it is divisible by the number (64) 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 6997153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626120448).

6997153344 is an abundant number, since it is smaller than the sum of its proper divisors (12255087552).

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

6997153344 is a wasteful number, since it uses less digits than its factorization.

6997153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8754 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 6997153344 is about 83648.9889000459. The cubic root of 6997153344 is about 1912.6718401364.

The spelling of 6997153344 in words is "six billion, nine hundred ninety-seven million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 137 186 192 248 274 372 411 496 548 744 822 992 1096 1488 1644 1984 2192 2976 3288 4247 4384 5952 6576 8494 8581 8768 12741 13152 16988 17162 25482 25743 26304 33976 34324 50964 51486 67952 68648 101928 102972 135904 137296 203856 205944 266011 271808 274592 407712 411888 532022 549184 798033 815424 823776 1064044 1175597 1596066 1647552 2128088 2351194 3192132 3526791 4256176 4702388 6384264 7053582 8512352 9404776 12768528 14107164 17024704 18809552 25537056 28214328 36443507 37619104 51074112 56428656 72887014 75238208 109330521 112857312 145774028 218661042 225714624 291548056 437322084 583096112 874644168 1166192224 1749288336 2332384448 3498576672 6997153344