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661924692 = 22321121311689
BaseRepresentation
bin100111011101000…
…010101101010100
31201010112020222100
4213131002231110
52323423042232
6145403202100
722255160412
oct4735025524
91633466870
10661924692
1130a703900
12165816330
13a719a920
1463ca62b2
153d1a0c7c
hex27742b54

661924692 has 108 divisors (see below), whose sum is σ = 1980776980. Its totient is φ = 185137920.

The previous prime is 661924687. The next prime is 661924721. The reversal of 661924692 is 296429166.

661924692 is a `hidden beast` number, since 6 + 619 + 24 + 6 + 9 + 2 = 666.

661924692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 429484176 + 232440516 = 20724^2 + 15246^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50784 + ... + 62472.

Almost surely, 2661924692 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 661924692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990388490).

661924692 is an abundant number, since it is smaller than the sum of its proper divisors (1318852288).

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

661924692 is a wasteful number, since it uses less digits than its factorization.

661924692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734 (or 11718 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 661924692 is about 25727.8971546452. The cubic root of 661924692 is about 871.5042861178.

The spelling of 661924692 in words is "six hundred sixty-one million, nine hundred twenty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 11689 14157 18876 23378 28314 35067 46756 56628 70134 105201 128579 140268 151957 210402 257158 303914 385737 420804 455871 514316 607828 771474 911742 1157211 1367613 1414369 1542948 1671527 1823484 2314422 2735226 2828738 3343054 4243107 4628844 5014581 5470452 5657476 6686108 8486214 10029162 12729321 15043743 16972428 18386797 20058324 25458642 30087486 36773594 50917284 55160391 60174972 73547188 110320782 165481173 220641564 330962346 661924692