Search a number
-
+
4958323705788 = 22323239103172907
BaseRepresentation
bin100100000100111001100…
…0111111000011110111100
3122120000022002211000112220
41020021303013320132330
51122214121332041123
614313453352525340
71021140612051165
oct110116307703674
918500262730486
104958323705788
1116418a4517902
12680b586b0850
1329c74c94554b
14131dac70476c
1588e9d9b9ce3
hex482731f87bc

4958323705788 has 96 divisors (see below), whose sum is σ = 12134877511680. Its totient is φ = 1572751561920.

The previous prime is 4958323705787. The next prime is 4958323705823. The reversal of 4958323705788 is 8875073238594.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958323705787) 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, 67972431 + ... + 68045337.

It is an arithmetic number, because the mean of its divisors is an integer number (126404974080).

Almost surely, 24958323705788 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 4958323705788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067438755840).

4958323705788 is an abundant number, since it is smaller than the sum of its proper divisors (7176553805892).

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

4958323705788 is a wasteful number, since it uses less digits than its factorization.

4958323705788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74207 (or 74205 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 4958323705788 in words is "four trillion, nine hundred fifty-eight billion, three hundred twenty-three million, seven hundred five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 239 276 478 717 956 1031 1434 2062 2868 3093 4124 5497 6186 10994 12372 16491 21988 23713 32982 47426 65964 71139 72907 94852 142278 145814 218721 246409 284556 291628 437442 492818 739227 874884 985636 1478454 1676861 2956908 3353722 5030583 5667407 6707444 10061166 11334814 17002221 17424773 20122332 22669628 34004442 34849546 52274319 68008884 69699092 75167117 104548638 150334234 209097276 225501351 300668468 400769779 451002702 801539558 902005404 1202309337 1603079116 1728843691 2404618674 3457687382 4809237348 5186531073 6915374764 10373062146 17964940963 20746124292 35929881926 53894822889 71859763852 107789645778 215579291556 413193642149 826387284298 1239580926447 1652774568596 2479161852894 4958323705788