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66006610536 = 233231317691187
BaseRepresentation
bin111101011110010011…
…001111001001101000
320022101010002020101010
4331132103033021220
52040140143014121
650153434423520
74524463634526
oct753623171150
9208333066333
1066006610536
1125aa20134a9
1210961591ba0
1362bbccbac9
1432a2503316
151ab4c44376
hexf5e4cf268

66006610536 has 128 divisors (see below), whose sum is σ = 173877580800. Its totient is φ = 20840202240.

The previous prime is 66006610529. The next prime is 66006610573. The reversal of 66006610536 is 63501660066.

It is a junction number, because it is equal to n+sod(n) for n = 66006610494 and 66006610503.

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, 55607335 + ... + 55608521.

It is an arithmetic number, because the mean of its divisors is an integer number (1358418600).

Almost surely, 266006610536 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 66006610536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86938790400).

66006610536 is an abundant number, since it is smaller than the sum of its proper divisors (107870970264).

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

66006610536 is a wasteful number, since it uses less digits than its factorization.

66006610536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 66006610536 in words is "sixty-six billion, six million, six hundred ten thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 184 262 276 393 524 552 769 786 1048 1187 1538 1572 2307 2374 3013 3076 3144 3561 4614 4748 6026 6152 7122 9039 9228 9496 12052 14244 17687 18078 18456 24104 27301 28488 35374 36156 53061 54602 70748 72312 81903 100739 106122 109204 141496 155497 163806 201478 212244 218408 302217 310994 327612 402956 424488 466491 604434 621988 655224 805912 912803 932982 1208868 1243976 1825606 1865964 2316997 2417736 2738409 3576431 3651212 3731928 4633994 5476818 6950991 7152862 7302424 9267988 10729293 10953636 13901982 14305724 18535976 20994469 21458586 21907272 27803964 28611448 41988938 42917172 55607928 62983407 83977876 85834344 119577193 125966814 167955752 239154386 251933628 358731579 478308772 503867256 717463158 956617544 1434926316 2750275439 2869852632 5500550878 8250826317 11001101756 16501652634 22002203512 33003305268 66006610536