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6984997632 = 28336715083
BaseRepresentation
bin1101000000101011…
…01001101100000000
3200000210111122102000
412200111221230000
5103301124411012
63113040424000
7335044333404
oct64025515400
920023448360
106984997632
112a64938118
12142b318000
138741824c2
144a3973104
152ad353ddc
hex1a0569b00

6984997632 has 144 divisors (see below), whose sum is σ = 20965553280. Its totient is φ = 2293429248.

The previous prime is 6984997631. The next prime is 6984997651. The reversal of 6984997632 is 2367994896.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6984997632.

It is not an unprimeable number, because it can be changed into a prime (6984997631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455563 + ... + 470645.

It is an arithmetic number, because the mean of its divisors is an integer number (145594120).

Almost surely, 26984997632 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 6984997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482776640).

6984997632 is an abundant number, since it is smaller than the sum of its proper divisors (13980555648).

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

6984997632 is a wasteful number, since it uses less digits than its factorization.

6984997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15155 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 6984997632 is about 83576.2982669130. The cubic root of 6984997632 is about 1911.5636101928.

The spelling of 6984997632 in words is "six billion, nine hundred eighty-four million, nine hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 536 576 603 768 804 864 1072 1152 1206 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4824 6432 6912 7236 8576 9648 12864 14472 15083 17152 19296 25728 28944 30166 38592 45249 51456 57888 60332 77184 90498 115776 120664 135747 154368 180996 231552 241328 271494 361992 407241 463104 482656 542988 723984 814482 965312 1010561 1085976 1447968 1628964 1930624 2021122 2171952 2895936 3031683 3257928 3861248 4042244 4343904 5791872 6063366 6515856 8084488 8687808 9095049 11583744 12126732 13031712 16168976 17375616 18190098 24253464 26063424 27285147 32337952 34751232 36380196 48506928 52126848 54570294 64675904 72760392 97013856 104253696 109140588 129351808 145520784 194027712 218281176 258703616 291041568 388055424 436562352 582083136 776110848 873124704 1164166272 1746249408 2328332544 3492498816 6984997632