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661091648 = 26717611423
BaseRepresentation
bin100111011001110…
…111010101000000
31201001221221020212
4213121313111000
52323214413043
6145333253252
722245120620
oct4731672500
91631857225
10661091648
1130a194a38
12165494228
13a6c686b9
1463b2a880
153d089018
hex27677540

661091648 has 112 divisors (see below), whose sum is σ = 1614610944. Its totient is φ = 262103040.

The previous prime is 661091623. The next prime is 661091677. The reversal of 661091648 is 846190166.

661091648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 463865 + ... + 465287.

Almost surely, 2661091648 is an apocalyptic number.

661091648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807305472).

661091648 is an abundant number, since it is smaller than the sum of its proper divisors (953519296).

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

661091648 is a wasteful number, since it uses less digits than its factorization.

661091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 661091648 is about 25711.7025496174. The cubic root of 661091648 is about 871.1385314228.

The spelling of 661091648 in words is "six hundred sixty-one million, ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 136 224 238 244 272 427 448 476 488 544 854 952 976 1037 1088 1423 1708 1904 1952 2074 2846 3416 3808 3904 4148 5692 6832 7259 7616 8296 9961 11384 13664 14518 16592 19922 22768 24191 27328 29036 33184 39844 45536 48382 58072 66368 79688 86803 91072 96764 116144 159376 169337 173606 193528 232288 318752 338674 347212 387056 464576 607621 637504 677348 694424 774112 1215242 1354696 1388848 1475651 1548224 2430484 2709392 2777696 2951302 4860968 5418784 5555392 5902604 9721936 10329557 10837568 11805208 19443872 20659114 23610416 38887744 41318228 47220832 82636456 94441664 165272912 330545824 661091648