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661520544 = 25322930091
BaseRepresentation
bin100111011011100…
…000000010100000
31201002202201120220
4213123200002200
52323322124134
6145350403040
722251555216
oct4733400240
91632681526
10661520544
1130a4581a3
12165660480
13a7088999
1463bdccb6
153d121149
hex276e00a0

661520544 has 48 divisors (see below), whose sum is σ = 1744132320. Its totient is φ = 219536640.

The previous prime is 661520533. The next prime is 661520551. The reversal of 661520544 is 445025166.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6939 + ... + 37029.

It is an arithmetic number, because the mean of its divisors is an integer number (36336090).

Almost surely, 2661520544 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 661520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872066160).

661520544 is an abundant number, since it is smaller than the sum of its proper divisors (1082611776).

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

661520544 is a wasteful number, since it uses less digits than its factorization.

661520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333 (or 30325 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 661520544 is about 25720.0416795930. The cubic root of 661520544 is about 871.3268800239.

The spelling of 661520544 in words is "six hundred sixty-one million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 30091 60182 90273 120364 180546 240728 361092 481456 722184 962912 1444368 2888736 6890839 13781678 20672517 27563356 41345034 55126712 82690068 110253424 165380136 220506848 330760272 661520544