Search a number
-
+
66256674192 = 2434127402551
BaseRepresentation
bin111101101101001101…
…001001110110010000
320100000112121210020000
4331231031021312100
52041143202033232
650234330250000
74533621303222
oct755515116620
9210015553200
1066256674192
112611018aa85
1210a11286900
13632ba64477
1432c77d8412
151acbb8c27c
hexf6d349d90

66256674192 has 100 divisors (see below), whose sum is σ = 193276486656. Its totient is φ = 21911601600.

The previous prime is 66256674109. The next prime is 66256674193. The reversal of 66256674192 is 29147665266.

66256674192 is a `hidden beast` number, since 6 + 6 + 2 + 566 + 74 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66256674193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36684 + ... + 365867.

Almost surely, 266256674192 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 66256674192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96638243328).

66256674192 is an abundant number, since it is smaller than the sum of its proper divisors (127019812464).

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

66256674192 is a wasteful number, since it uses less digits than its factorization.

66256674192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402698 (or 402683 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 66256674192 in words is "sixty-six billion, two hundred fifty-six million, six hundred seventy-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 324 381 432 508 648 762 1016 1143 1296 1524 2032 2286 3048 3429 4572 6096 6858 9144 10287 13716 18288 20574 27432 41148 54864 82296 164592 402551 805102 1207653 1610204 2415306 3220408 3622959 4830612 6440816 7245918 9661224 10868877 14491836 19322448 21737754 28983672 32606631 43475508 51123977 57967344 65213262 86951016 102247954 130426524 153371931 173902032 204495908 260853048 306743862 408991816 460115793 521706096 613487724 817983632 920231586 1226975448 1380347379 1840463172 2453950896 2760694758 3680926344 4141042137 5521389516 7361852688 8282084274 11042779032 16564168548 22085558064 33128337096 66256674192