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4192485696 = 26337346601
BaseRepresentation
bin1111100111100100…
…0100000101000000
3101211011220100012000
43321321010011000
532041234020241
61532003304000
7205615353240
oct37171040500
911734810160
104192485696
111861604613
1299007b000
1351a777689
142bab3bb20
151980e7eb6
hexf9e44140

4192485696 has 112 divisors (see below), whose sum is σ = 14085905280. Its totient is φ = 1197849600.

The previous prime is 4192485691. The next prime is 4192485727. The reversal of 4192485696 is 6965842914.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×41924856962 = 35153872622329208832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192485691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161205 + ... + 185396.

Almost surely, 24192485696 is an apocalyptic number.

It is an amenable number.

4192485696 is an abundant number, since it is smaller than the sum of its proper divisors (9893419584).

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

4192485696 is a wasteful number, since it uses less digits than its factorization.

4192485696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346629 (or 346613 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4192485696 is about 64749.4069162027. The cubic root of 4192485696 is about 1612.4658657999.

The spelling of 4192485696 in words is "four billion, one hundred ninety-two million, four hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 346601 693202 1039803 1386404 2079606 2426207 2772808 3119409 4159212 4852414 5545616 6238818 7278621 8318424 9358227 9704828 11091232 12477636 14557242 16636848 18716454 19409656 21835863 22182464 24955272 29114484 33273696 37432908 38819312 43671726 49910544 58228968 65507589 66547392 74865816 77638624 87343452 99821088 116457936 131015178 149731632 155277248 174686904 199642176 232915872 262030356 299463264 349373808 465831744 524060712 598926528 698747616 1048121424 1397495232 2096242848 4192485696