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6900532992 = 28338111231
BaseRepresentation
bin1100110110100110…
…11100011100000000
3122210220120101201000
412123103130130000
5103113014023432
63100422212000
7333000363663
oct63323343400
918726511630
106900532992
112a21197631
121406b84000
1385c81ac22
144966676da
152a5c1c57c
hex19b4dc700

6900532992 has 144 divisors (see below), whose sum is σ = 20447848960. Its totient is φ = 2295475200.

The previous prime is 6900532981. The next prime is 6900533021. The reversal of 6900532992 is 2992350096.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 5605017 + ... + 5606247.

Almost surely, 26900532992 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 6900532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223924480).

6900532992 is an abundant number, since it is smaller than the sum of its proper divisors (13547315968).

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

6900532992 is a wasteful number, since it uses less digits than its factorization.

6900532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 6900532992 is about 83069.4468020583. The cubic root of 6900532992 is about 1903.8272799564.

The spelling of 6900532992 in words is "six billion, nine hundred million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 811 864 1152 1231 1622 1728 2304 2433 2462 3244 3456 3693 4866 4924 6488 6912 7299 7386 9732 9848 11079 12976 14598 14772 19464 19696 21897 22158 25952 29196 29544 33237 38928 39392 43794 44316 51904 58392 59088 66474 77856 78784 87588 88632 103808 116784 118176 132948 155712 157568 175176 177264 207616 233568 236352 265896 311424 315136 350352 354528 467136 472704 531792 622848 700704 709056 934272 945408 998341 1063584 1401408 1418112 1868544 1996682 2127168 2802816 2836224 2995023 3993364 4254336 5605632 5990046 7986728 8508672 8985069 11980092 15973456 17970138 23960184 26955207 31946912 35940276 47920368 53910414 63893824 71880552 95840736 107820828 127787648 143761104 191681472 215641656 255575296 287522208 383362944 431283312 575044416 766725888 862566624 1150088832 1725133248 2300177664 3450266496 6900532992