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666232416 = 2532191091117
BaseRepresentation
bin100111101101011…
…110011001100000
31201102122010001200
4213231132121200
52331023414131
6150035401200
722336611363
oct4755363140
91642563050
10666232416
11312086303
12167153200
13a8048585
14646a80da
153d7522e6
hex27b5e660

666232416 has 144 divisors (see below), whose sum is σ = 2014412400. Its totient is φ = 208272384.

The previous prime is 666232393. The next prime is 666232429. The reversal of 666232416 is 614232666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 595890 + ... + 597006.

It is an arithmetic number, because the mean of its divisors is an integer number (13988975).

Almost surely, 2666232416 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 666232416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007206200).

666232416 is an abundant number, since it is smaller than the sum of its proper divisors (1348179984).

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

666232416 is a wasteful number, since it uses less digits than its factorization.

666232416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 666232416 is about 25811.4783768772. The cubic root of 666232416 is about 873.3907470882.

The spelling of 666232416 in words is "six hundred sixty-six million, two hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 109 114 144 152 171 218 228 288 304 327 342 436 456 608 654 684 872 912 981 1117 1308 1368 1744 1824 1962 2071 2234 2616 2736 3351 3488 3924 4142 4468 5232 5472 6213 6702 7848 8284 8936 10053 10464 12426 13404 15696 16568 17872 18639 20106 21223 24852 26808 31392 33136 35744 37278 40212 42446 49704 53616 63669 66272 74556 80424 84892 99408 107232 121753 127338 149112 160848 169784 191007 198816 243506 254676 298224 321696 339568 365259 382014 487012 509352 596448 679136 730518 764028 974024 1018704 1095777 1461036 1528056 1948048 2037408 2191554 2313307 2922072 3056112 3896096 4383108 4626614 5844144 6112224 6939921 8766216 9253228 11688288 13879842 17532432 18506456 20819763 27759684 35064864 37012912 41639526 55519368 74025824 83279052 111038736 166558104 222077472 333116208 666232416