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985652664 = 233197927361
BaseRepresentation
bin111010101111111…
…101110110111000
32112200200100021020
4322233331312320
54004311341124
6241445542440
733265623633
oct7257756670
92480610236
10985652664
11466414487
12236114a20
13129285939
1494c94c1a
155b7ea379
hex3abfddb8

985652664 has 64 divisors (see below), whose sum is σ = 2626752000. Its totient is φ = 307307520.

The previous prime is 985652663. The next prime is 985652671. The reversal of 985652664 is 466256589.

It is a super-2 number, since 2×9856526642 = 1943022348100593792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985652663) 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, 22344 + ... + 49704.

It is an arithmetic number, because the mean of its divisors is an integer number (41043000).

Almost surely, 2985652664 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 985652664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313376000).

985652664 is an abundant number, since it is smaller than the sum of its proper divisors (1641099336).

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

985652664 is a wasteful number, since it uses less digits than its factorization.

985652664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27468 (or 27464 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 985652664 is about 31395.1057332190. The cubic root of 985652664 is about 995.1944988159.

The spelling of 985652664 in words is "nine hundred eighty-five million, six hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 228 237 316 456 474 632 948 1501 1896 3002 4503 6004 9006 12008 18012 27361 36024 54722 82083 109444 164166 218888 328332 519859 656664 1039718 1559577 2079436 2161519 3119154 4158872 4323038 6238308 6484557 8646076 12476616 12969114 17292152 25938228 41068861 51876456 82137722 123206583 164275444 246413166 328550888 492826332 985652664