Search a number
-
+
35423042796 = 22341011099931
BaseRepresentation
bin100000111111011000…
…001011110011101100
310101102200201000120000
4200333120023303230
51040021244332141
624134554424300
72362546616151
oct407730136354
9111380630500
1035423042796
1114028425389
126a47132090
133456a7266b
141a0078c228
15dc4c965b6
hex83f60bcec

35423042796 has 120 divisors (see below), whose sum is σ = 94387172880. Its totient is φ = 11582352000.

The previous prime is 35423042779. The next prime is 35423042797. The reversal of 35423042796 is 69724032453.

35423042796 is a `hidden beast` number, since 3 + 542 + 30 + 4 + 2 + 79 + 6 = 666.

It is a super-3 number, since 3×354230427963 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (35423042797) 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 39 ways as a sum of consecutive naturals, for example, 3561951 + ... + 3571881.

It is an arithmetic number, because the mean of its divisors is an integer number (786559774).

Almost surely, 235423042796 is an apocalyptic number.

35423042796 is a gapful number since it is divisible by the number (36) 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 35423042796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47193586440).

35423042796 is an abundant number, since it is smaller than the sum of its proper divisors (58964130084).

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

35423042796 is a wasteful number, since it uses less digits than its factorization.

35423042796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 35423042796 in words is "thirty-five billion, four hundred twenty-three million, forty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 109 162 202 218 303 324 327 404 436 606 654 909 981 1212 1308 1818 1962 2727 2943 3636 3924 5454 5886 8181 8829 9931 10908 11009 11772 16362 17658 19862 22018 29793 32724 33027 35316 39724 44036 59586 66054 89379 99081 119172 132108 178758 198162 268137 297243 357516 396324 536274 594486 804411 891729 1003031 1072548 1082479 1188972 1608822 1783458 2006062 2164958 3009093 3217644 3247437 3566916 4012124 4329916 6018186 6494874 9027279 9742311 12036372 12989748 18054558 19484622 27081837 29226933 36109116 38969244 54163674 58453866 81245511 87680799 108327348 109330379 116907732 162491022 175361598 218660758 324982044 327991137 350723196 437321516 655982274 983973411 1311964548 1967946822 2951920233 3935893644 5903840466 8855760699 11807680932 17711521398 35423042796