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666632442432 = 263111193264577
BaseRepresentation
bin10011011001101100110…
…00111101001001000000
32100201200202112211211110
421230312120331021000
541410230401124212
61230125142443320
766106526160405
oct11546630751100
92321622484743
10666632442432
112377986a8840
12a9245a33540
134ab2b4ca938
142439d9362ac
15125199d3a3c
hex9b3663d240

666632442432 has 112 divisors (see below), whose sum is σ = 1925763780672. Its totient is φ = 201839738880.

The previous prime is 666632442409. The next prime is 666632442433. The reversal of 666632442432 is 234244236666.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (666632442433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2387328 + ... + 2651904.

Almost surely, 2666632442432 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 666632442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962881890336).

666632442432 is an abundant number, since it is smaller than the sum of its proper divisors (1259131338240).

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

666632442432 is a wasteful number, since it uses less digits than its factorization.

666632442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265796 (or 265786 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 48.

The spelling of 666632442432 in words is "six hundred sixty-six billion, six hundred thirty-two million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1193 2112 2386 3579 4772 7158 9544 13123 14316 19088 26246 28632 38176 39369 52492 57264 76352 78738 104984 114528 157476 209968 229056 264577 314952 419936 529154 629904 793731 839872 1058308 1259808 1587462 2116616 2519616 2910347 3174924 4233232 5820694 6349848 8466464 8731041 11641388 12699696 16932928 17462082 23282776 25399392 34924164 46565552 50798784 69848328 93131104 139696656 186262208 279393312 315640361 558786624 631280722 946921083 1262561444 1893842166 2525122888 3472043971 3787684332 5050245776 6944087942 7575368664 10100491552 10416131913 13888175884 15150737328 20200983104 20832263826 27776351768 30301474656 41664527652 55552703536 60602949312 83329055304 111105407072 166658110608 222210814144 333316221216 666632442432