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4020918804 = 2232749132497
BaseRepresentation
bin1110111110101010…
…0101101000010100
3101101020001211122200
43233222211220110
531213323400204
61502554124500
7201433150230
oct35752455024
911336054580
104020918804
1117837818a1
12942720730
134c10670c6
142a203b5c0
15188008539
hexefaa5a14

4020918804 has 72 divisors (see below), whose sum is σ = 11640003648. Its totient is φ = 1146458880.

The previous prime is 4020918799. The next prime is 4020918827. The reversal of 4020918804 is 4088190204.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107484 + ... + 139980.

Almost surely, 24020918804 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 4020918804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820001824).

4020918804 is an abundant number, since it is smaller than the sum of its proper divisors (7619084844).

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

4020918804 is a wasteful number, since it uses less digits than its factorization.

4020918804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33005 (or 33000 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4020918804 is about 63410.7152143863. The cubic root of 4020918804 is about 1590.1634529958.

The spelling of 4020918804 in words is "four billion, twenty million, nine hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 491 982 1473 1964 2946 3437 4419 5892 6874 8838 10311 13748 17676 20622 30933 32497 41244 61866 64994 97491 123732 129988 194982 227479 292473 389964 454958 584946 682437 909916 1169892 1364874 2047311 2729748 4094622 8189244 15956027 31912054 47868081 63824108 95736162 111692189 143604243 191472324 223384378 287208486 335076567 446768756 574416972 670153134 1005229701 1340306268 2010459402 4020918804