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661692312 = 2332371491667
BaseRepresentation
bin100111011100001…
…001111110011000
31201010002110012200
4213130021332120
52323343123222
6145354210200
722253202051
oct4734117630
91633073180
10661692312
1130a565256
12165723960
13a7118c18
1463c45728
153d156eac
hex27709f98

661692312 has 96 divisors (see below), whose sum is σ = 1853982000. Its totient is φ = 213034752.

The previous prime is 661692307. The next prime is 661692323. The reversal of 661692312 is 213296166.

It is a happy number.

661692312 is a `hidden beast` number, since 6 + 616 + 9 + 2 + 31 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 396103 + ... + 397769.

Almost surely, 2661692312 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 661692312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926991000).

661692312 is an abundant number, since it is smaller than the sum of its proper divisors (1192289688).

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

661692312 is a wasteful number, since it uses less digits than its factorization.

661692312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1858 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 661692312 is about 25723.3806487406. The cubic root of 661692312 is about 871.4022886789.

The spelling of 661692312 in words is "six hundred sixty-one million, six hundred ninety-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 149 222 296 298 333 444 447 596 666 888 894 1192 1332 1341 1667 1788 2664 2682 3334 3576 5001 5364 5513 6668 10002 10728 11026 13336 15003 16539 20004 22052 30006 33078 40008 44104 49617 60012 61679 66156 99234 120024 123358 132312 185037 198468 246716 248383 370074 396936 493432 496766 555111 740148 745149 993532 1110222 1480296 1490298 1987064 2220444 2235447 2980596 4440888 4470894 5961192 8941788 9190171 17883576 18380342 27570513 36760684 55141026 73521368 82711539 110282052 165423078 220564104 330846156 661692312