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6985683324 = 22363764747
BaseRepresentation
bin1101000000110000…
…10001000101111100
3200000211210111000000
412200120101011330
5103301313331244
63113103234300
7335053220454
oct64030210574
920024714000
106985683324
112a65266304
12142b5a8990
13874362639
144a3ab0d64
152ad43c169
hex1a061117c

6985683324 has 84 divisors (see below), whose sum is σ = 18824704024. Its totient is φ = 2265592032.

The previous prime is 6985683319. The next prime is 6985683371. The reversal of 6985683324 is 4233865896.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 75519 + ... + 140265.

Almost surely, 26985683324 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 6985683324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412352012).

6985683324 is an abundant number, since it is smaller than the sum of its proper divisors (11839020700).

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

6985683324 is a wasteful number, since it uses less digits than its factorization.

6985683324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64806 (or 64789 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6985683324 is about 83580.4003579787. The cubic root of 6985683324 is about 1911.6261585789.

The spelling of 6985683324 in words is "six billion, nine hundred eighty-five million, six hundred eighty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2916 2997 3996 5994 8991 11988 17982 26973 35964 53946 64747 107892 129494 194241 258988 388482 582723 776964 1165446 1748169 2330892 2395639 3496338 4791278 5244507 6992676 7186917 9582556 10489014 14373834 15733521 20978028 21560751 28747668 31467042 43121502 47200563 62934084 64682253 86243004 94401126 129364506 188802252 194046759 258729012 388093518 582140277 776187036 1164280554 1746420831 2328561108 3492841662 6985683324