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838572390942 = 23111317316673389
BaseRepresentation
bin11000011001111101100…
…11110011101000011110
32222011111112220020000120
430030332303303220132
5102214344013002232
61441122420335410
7114404414500206
oct14147663635036
92864445806016
10838572390942
112a3700286a40
12116630244566
1361100334840
142c8310b5406
1516c2e7cd92c
hexc33ecf3a1e

838572390942 has 128 divisors (see below), whose sum is σ = 1983515143680. Its totient is φ = 233001162240.

The previous prime is 838572390913. The next prime is 838572390967. The reversal of 838572390942 is 249093275838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247437784 + ... + 247441172.

It is an arithmetic number, because the mean of its divisors is an integer number (15496212060).

Almost surely, 2838572390942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838572390942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991757571840).

838572390942 is an abundant number, since it is smaller than the sum of its proper divisors (1144942752738).

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

838572390942 is a wasteful number, since it uses less digits than its factorization.

838572390942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258.

The product of its (nonzero) digits is 26127360, while the sum is 60.

It can be divided in two parts, 8385 and 72390942, that added together give a palindrome (72399327).

The spelling of 838572390942 in words is "eight hundred thirty-eight billion, five hundred seventy-two million, three hundred ninety thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 173 286 346 429 519 858 1038 1667 1903 2249 3334 3389 3806 4498 5001 5709 6747 6778 10002 10167 11418 13494 18337 20334 21671 24739 36674 37279 43342 44057 49478 55011 65013 74217 74558 88114 110022 111837 130026 132171 148434 223674 238381 264342 288391 476762 484627 576782 586297 715143 865173 969254 1172594 1430286 1453881 1730346 1758891 2907762 3172301 3517782 3749083 5649463 6344602 6449267 7498166 7621861 9516903 11247249 11298926 12898534 15243722 16948389 19033806 19347801 22494498 22865583 33896778 38695602 41239913 45731166 62144093 73443019 82479826 83840471 123719739 124288186 146886038 167680942 186432279 220329057 247439478 251521413 372864558 440658114 503042826 807873209 977357099 1615746418 1954714198 2423619627 2932071297 4847239254 5864142594 10750928089 12705642287 21501856178 25411284574 32252784267 38116926861 64505568534 76233853722 139762065157 279524130314 419286195471 838572390942