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4790911778838 = 2346112719919183
BaseRepresentation
bin100010110110111100010…
…0110000100000000010110
3121222000011212201222020000
41011231320212010000112
51111443241403410323
614104525310152130
71003063155130413
oct105557046040026
917860155658200
104790911778838
1115878a5889289
126546167b2646
13289a1cc46743
14127c4a68710a
1584951495e43
hex45b78984016

4790911778838 has 160 divisors (see below), whose sum is σ = 11052930662400. Its totient is φ = 1550510216640.

The previous prime is 4790911778837. The next prime is 4790911778909. The reversal of 4790911778838 is 8388771190974.

4790911778838 is a `hidden beast` number, since 479 + 0 + 9 + 1 + 1 + 7 + 78 + 83 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4790911778833) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 249738195 + ... + 249757377.

It is an arithmetic number, because the mean of its divisors is an integer number (69080816640).

Almost surely, 24790911778838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4790911778838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526465331200).

4790911778838 is an abundant number, since it is smaller than the sum of its proper divisors (6262018883562).

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

4790911778838 is a wasteful number, since it uses less digits than its factorization.

4790911778838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 4790911778838 in words is "four trillion, seven hundred ninety billion, nine hundred eleven million, seven hundred seventy-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 127 162 183 199 254 366 381 398 549 597 762 1098 1143 1194 1647 1791 2286 3294 3429 3582 4941 5373 6858 7747 9882 10287 10746 12139 15494 16119 19183 20574 23241 24278 25273 32238 36417 38366 46482 50546 57549 69723 72834 75819 109251 115098 139446 151638 172647 209169 218502 227457 327753 345294 418338 454914 517941 627507 655506 682371 983259 1035882 1170163 1255014 1364742 1541653 1553823 1966518 2047113 2340326 2436241 3083306 3107646 3510489 3817417 4094226 4624959 4872482 7020978 7308723 7634834 9249918 10531467 11452251 13874877 14617446 21062934 21926169 22904502 27749754 31594401 34356753 41624631 43852338 63188802 65778507 68713506 83249262 94783203 103070259 124873893 131557014 148610701 189566406 197335521 206140518 232862437 249747786 297221402 309210777 394671042 445832103 465724874 484811959 618421554 698587311 891664206 969623918 1337496309 1397174622 1454435877 2095761933 2674992618 2908871754 4012488927 4191523866 4363307631 6287285799 8024977854 8726615262 12037466781 12574571598 13089922893 18861857397 24074933562 26179845786 29573529499 37723714794 39269768679 59147058998 78539537358 88720588497 177441176994 266161765491 532323530982 798485296473 1596970592946 2395455889419 4790911778838