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4204111356 = 2233177132251
BaseRepresentation
bin1111101010010101…
…1010010111111100
3101211222202222121000
43322211122113330
532102223030411
61533100410300
7206116233264
oct37245322774
911758688530
104204111356
1118681250a5
12993b46990
1351ccb8173
142bc4c67a4
15199142956
hexfa95a5fc

4204111356 has 96 divisors (see below), whose sum is σ = 11703605760. Its totient is φ = 1300320000.

The previous prime is 4204111349. The next prime is 4204111367. The reversal of 4204111356 is 6531114024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114231 + ... + 146481.

It is an arithmetic number, because the mean of its divisors is an integer number (121912560).

Almost surely, 24204111356 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 4204111356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851802880).

4204111356 is an abundant number, since it is smaller than the sum of its proper divisors (7499494404).

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

4204111356 is a wasteful number, since it uses less digits than its factorization.

4204111356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32352 (or 32344 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4204111356 is about 64839.1190254772. The cubic root of 4204111356 is about 1613.9549330294.

The spelling of 4204111356 in words is "four billion, two hundred four million, one hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 102 108 142 153 204 213 284 306 426 459 612 639 852 918 1207 1278 1836 1917 2414 2556 3621 3834 4828 7242 7668 10863 14484 21726 32251 32589 43452 64502 65178 96753 129004 130356 193506 290259 387012 548267 580518 870777 1096534 1161036 1644801 1741554 2193068 2289821 3289602 3483108 4579642 4934403 6579204 6869463 9159284 9868806 13738926 14803209 19737612 20608389 27477852 29606418 38926957 41216778 59212836 61825167 77853914 82433556 116780871 123650334 155707828 233561742 247300668 350342613 467123484 700685226 1051027839 1401370452 2102055678 4204111356