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9680198544 = 24369112
BaseRepresentation
bin10010000001111110…
…00001101110010000
3220222122000001000000
421000333001232100
5124311112323134
64240320130000
7461612221122
oct110077015620
926878001000
109680198544
114118246495
121a61a66900
13bb3678743
1467b8b7212
153b9c8be99
hex240fc1b90

9680198544 has 105 divisors (see below), whose sum is σ = 28151114539. Its totient is φ = 3223190880.

The previous prime is 9680198509. The next prime is 9680198557. The reversal of 9680198544 is 4458910869.

The square root of 9680198544 is 98388.

It is a perfect power (a square), and thus also a powerful number.

9680198544 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 1 + 98 + 544 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10625449 + ... + 10626359.

Almost surely, 29680198544 is an apocalyptic number.

9680198544 is the 98388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680198544

9680198544 is an abundant number, since it is smaller than the sum of its proper divisors (18470915995).

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

9680198544 is an frugal number, since it uses more digits than its factorization.

9680198544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The cubic root of 9680198544 is about 2131.2190442966.

The spelling of 9680198544 in words is "nine billion, six hundred eighty million, one hundred ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 911 972 1296 1458 1822 1944 2733 2916 3644 3888 5466 5832 7288 8199 10932 11664 14576 16398 21864 24597 32796 43728 49194 65592 73791 98388 131184 147582 196776 221373 295164 393552 442746 590328 664119 829921 885492 1180656 1328238 1659842 1770984 2489763 2656476 3319684 3541968 4979526 5312952 6639368 7469289 9959052 10625904 13278736 14938578 19918104 22407867 29877156 39836208 44815734 59754312 67223601 89631468 119508624 134447202 179262936 201670803 268894404 358525872 403341606 537788808 605012409 806683212 1075577616 1210024818 1613366424 2420049636 3226732848 4840099272 9680198544