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6066050040 = 2333541136993
BaseRepresentation
bin1011010011001000…
…01001001111111000
3120122202100021022000
411221210021033320
544410402100130
62441532301000
7303215401041
oct55144111770
916582307260
106066050040
1126331441a6
121213611760
1375898372b
144178c38c8
15257833260
hex1699093f8

6066050040 has 128 divisors (see below), whose sum is σ = 20713492800. Its totient is φ = 1578147840.

The previous prime is 6066050021. The next prime is 6066050057. The reversal of 6066050040 is 400506606.

6066050040 is a `hidden beast` number, since 60 + 6 + 60 + 500 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6066049986 and 6066050013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24217 + ... + 112776.

Almost surely, 26066050040 is an apocalyptic number.

6066050040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356746400).

6066050040 is an abundant number, since it is smaller than the sum of its proper divisors (14647442760).

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

6066050040 is a wasteful number, since it uses less digits than its factorization.

6066050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137054 (or 137044 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6066050040 is about 77884.8511586175. The cubic root of 6066050040 is about 1823.7641012445.

Adding to 6066050040 its reverse (400506606), we get a palindrome (6466556646).

The spelling of 6066050040 in words is "six billion, sixty-six million, fifty thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280 136993 273986 410979 547972 684965 821958 1095944 1232937 1369930 1643916 2054895 2465874 2739860 3287832 3698811 4109790 4931748 5479720 5616713 6164685 7397622 8219580 9863496 11233426 12329370 14795244 16439160 16850139 18494055 22466852 24658740 28083565 29590488 33700278 36988110 44933704 49317480 50550417 56167130 67400556 73976220 84250695 101100834 112334260 134801112 147952440 151651251 168501390 202201668 224668520 252752085 303302502 337002780 404403336 505504170 606605004 674005560 758256255 1011008340 1213210008 1516512510 2022016680 3033025020 6066050040