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661645536 = 25341971733
BaseRepresentation
bin100111011011111…
…110100011100000
31201010000002001020
4213123332203200
52323340124121
6145353205440
722252615506
oct4733764340
91633002036
10661645536
1130a5330a2
12165700880
13a7100846
1463c32676
153d1481c6
hex276fe8e0

661645536 has 96 divisors (see below), whose sum is σ = 1798560288. Its totient is φ = 212828160.

The previous prime is 661645519. The next prime is 661645541. The reversal of 661645536 is 635546166.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380926 + ... + 382658.

It is an arithmetic number, because the mean of its divisors is an integer number (18735003).

Almost surely, 2661645536 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 661645536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899280144).

661645536 is an abundant number, since it is smaller than the sum of its proper divisors (1136914752).

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

661645536 is a wasteful number, since it uses less digits than its factorization.

661645536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 661645536 is about 25722.4714209191. The cubic root of 661645536 is about 871.3817546264.

The spelling of 661645536 in words is "six hundred sixty-one million, six hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 97 123 164 194 246 291 328 388 492 582 656 776 984 1164 1312 1552 1733 1968 2328 3104 3466 3936 3977 4656 5199 6932 7954 9312 10398 11931 13864 15908 20796 23862 27728 31816 41592 47724 55456 63632 71053 83184 95448 127264 142106 166368 168101 190896 213159 284212 336202 381792 426318 504303 568424 672404 852636 1008606 1136848 1344808 1705272 2017212 2273696 2689616 3410544 4034424 5379232 6821088 6892141 8068848 13784282 16137696 20676423 27568564 41352846 55137128 82705692 110274256 165411384 220548512 330822768 661645536