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985204588038 = 231129471432979
BaseRepresentation
bin11100101011000101100…
…01001111111000000110
310111011222121020121211020
432111202301033320012
5112120144333304123
62032332521252010
7131115200553126
oct16254261177006
93434877217736
10985204588038
1134a90633aa00
1213ab33034006
1371b9ac521c8
143598147ac86
151a9628b57e3
hexe562c4fe06

985204588038 has 48 divisors (see below), whose sum is σ = 2168110203840. Its totient is φ = 298231381360.

The previous prime is 985204588033. The next prime is 985204588099. The reversal of 985204588038 is 830885402589.

985204588038 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×9852045880384 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985204588033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28968 + ... + 1404011.

It is an arithmetic number, because the mean of its divisors is an integer number (45168962580).

Almost surely, 2985204588038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985204588038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084055101920).

985204588038 is an abundant number, since it is smaller than the sum of its proper divisors (1182905615802).

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

985204588038 is a wasteful number, since it uses less digits than its factorization.

985204588038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433953 (or 1433942 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 985204588038 in words is "nine hundred eighty-five billion, two hundred four million, five hundred eighty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 947 1894 2841 5682 10417 20834 31251 62502 114587 229174 343761 687522 1432979 2865958 4298937 8597874 15762769 31525538 47288307 94576614 173390459 346780918 520171377 1040342754 1357031113 2714062226 4071093339 8142186678 14927342243 29854684486 44782026729 89564053458 164200764673 328401529346 492602294019 985204588038