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661245624 = 2332132311753
BaseRepresentation
bin100111011010011…
…100111010111000
31201002020202110200
4213122130322320
52323234324444
6145340442200
722246331544
oct4732347270
91632222420
10661245624
1130a28a696
12165549360
13a6cc0800
1463b6aa24
153d0b9969
hex2769ceb8

661245624 has 144 divisors (see below), whose sum is σ = 2002927680. Its totient is φ = 196784640.

The previous prime is 661245577. The next prime is 661245643. The reversal of 661245624 is 426542166.

661245624 is a `hidden beast` number, since 6 + 6 + 1 + 24 + 5 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 376332 + ... + 378084.

It is an arithmetic number, because the mean of its divisors is an integer number (13909220).

Almost surely, 2661245624 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 661245624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001463840).

661245624 is an abundant number, since it is smaller than the sum of its proper divisors (1341682056).

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

661245624 is a wasteful number, since it uses less digits than its factorization.

661245624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1802 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 661245624 is about 25714.6966538592. The cubic root of 661245624 is about 871.2061589671.

The spelling of 661245624 in words is "six hundred sixty-one million, two hundred forty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 169 186 234 248 279 312 338 372 403 468 507 558 676 744 806 936 1014 1116 1209 1352 1521 1612 1753 2028 2232 2418 3042 3224 3506 3627 4056 4836 5239 5259 6084 7012 7254 9672 10478 10518 12168 14024 14508 15717 15777 20956 21036 22789 29016 31434 31554 41912 42072 45578 47151 54343 62868 63108 68367 91156 94302 108686 125736 126216 136734 163029 182312 188604 205101 217372 273468 296257 326058 377208 410202 434744 489087 546936 592514 652116 706459 820404 888771 978174 1185028 1304232 1412918 1640808 1777542 1956348 2119377 2370056 2666313 2825836 3555084 3912696 4238754 5332626 5651672 6358131 7110168 8477508 9183967 10665252 12716262 16955016 18367934 21330504 25432524 27551901 36735868 50865048 55103802 73471736 82655703 110207604 165311406 220415208 330622812 661245624