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1980021936942 = 2327210332173207
BaseRepresentation
bin11100110100000010100…
…000010001001100101110
321000021210010121002112200
4130310002200101030232
5224420041103440232
64113335353442330
7263023534525200
oct34640240211456
97007703532480
101980021936942
116a37a4845375
1227b8a94103a6
1311493b59a69a
146bb95478770
153678914677c
hex1cd0281132e

1980021936942 has 72 divisors (see below), whose sum is σ = 4995296791056. Its totient is φ = 565172645184.

The previous prime is 1980021936901. The next prime is 1980021936979. The reversal of 1980021936942 is 2496391200891.

It is a super-2 number, since 2×19800219369422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175498 + ... + 1997709.

It is an arithmetic number, because the mean of its divisors is an integer number (69379122098).

Almost surely, 21980021936942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980021936942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497648395528).

1980021936942 is an abundant number, since it is smaller than the sum of its proper divisors (3015274854114).

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

1980021936942 is a wasteful number, since it uses less digits than its factorization.

1980021936942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174262 (or 2174252 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1980021936942 in words is "one trillion, nine hundred eighty billion, twenty-one million, nine hundred thirty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1033 2066 3099 6198 7231 9297 14462 18594 21693 43386 50617 65079 101234 130158 151851 303702 455553 911106 2173207 4346414 6519621 13039242 15212449 19558863 30424898 39117726 45637347 91274694 106487143 136912041 212974286 273824082 319461429 638922858 958384287 1916768574 2244922831 4489845662 6734768493 13469536986 15714459817 20204305479 31428919634 40408610958 47143379451 94286758902 110001218719 141430138353 220002437438 282860276706 330003656157 660007312314 990010968471 1980021936942