Search a number
-
+
4126676004 = 2233118341851
BaseRepresentation
bin1111010111111000…
…0001010000100100
3101122121001212021000
43311332001100210
531422412113004
61521252553300
7204156111243
oct36576012044
911577055230
104126676004
111828445840
12972022830
13509c45229
142b20ca95a
15192448c39
hexf5f81424

4126676004 has 96 divisors (see below), whose sum is σ = 11812308480. Its totient is φ = 1235412000.

The previous prime is 4126676003. The next prime is 4126676009. The reversal of 4126676004 is 4006766214.

4126676004 is a `hidden beast` number, since 41 + 2 + 6 + 6 + 7 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4126676004.

It is not an unprimeable number, because it can be changed into a prime (4126676003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77679 + ... + 119529.

It is an arithmetic number, because the mean of its divisors is an integer number (123044880).

Almost surely, 24126676004 is an apocalyptic number.

4126676004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126676004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906154240).

4126676004 is an abundant number, since it is smaller than the sum of its proper divisors (7685632476).

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

4126676004 is a wasteful number, since it uses less digits than its factorization.

4126676004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41958 (or 41950 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4126676004 is about 64239.2092417084. The cubic root of 4126676004 is about 1603.9843412588.

The spelling of 4126676004 in words is "four billion, one hundred twenty-six million, six hundred seventy-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 83 99 108 132 166 198 249 297 332 396 498 594 747 913 996 1188 1494 1826 2241 2739 2988 3652 4482 5478 8217 8964 10956 16434 24651 32868 41851 49302 83702 98604 125553 167404 251106 376659 460361 502212 753318 920722 1129977 1381083 1506636 1841444 2259954 2762166 3473633 4143249 4519908 5524332 6947266 8286498 10420899 12429747 13894532 16572996 20841798 24859494 31262697 38209963 41683596 49718988 62525394 76419926 93788091 114629889 125050788 152839852 187576182 229259778 343889667 375152364 458519556 687779334 1031669001 1375558668 2063338002 4126676004