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2121798883032 = 233389151730943
BaseRepresentation
bin11110111000000101000…
…100011001011011011000
321111211201210221012002000
4132320011010121123120
5234230421003224112
64302424013441000
7306203103633303
oct36700504313330
97454653835060
102121798883032
117489391773a4
122a32761a0160
1312511433a26a
14749a4a9bb3a
153a2d5d6a7dc
hex1ee051196d8

2121798883032 has 128 divisors (see below), whose sum is σ = 5999588352000. Its totient is φ = 694687276800.

The previous prime is 2121798882997. The next prime is 2121798883133. The reversal of 2121798883032 is 2303888971212.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2121798883032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2537353 + ... + 3268295.

It is an arithmetic number, because the mean of its divisors is an integer number (46871784000).

Almost surely, 22121798883032 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 2121798883032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999794176000).

2121798883032 is an abundant number, since it is smaller than the sum of its proper divisors (3877789468968).

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

2121798883032 is a wasteful number, since it uses less digits than its factorization.

2121798883032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731198 (or 731188 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2121798883032 in words is "two trillion, one hundred twenty-one billion, seven hundred ninety-eight million, eight hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 151 178 216 267 302 356 453 534 604 712 801 906 1068 1208 1359 1602 1812 2136 2403 2718 3204 3624 4077 4806 5436 6408 8154 9612 10872 13439 16308 19224 26878 32616 40317 53756 80634 107512 120951 161268 241902 322536 362853 483804 725706 730943 967608 1451412 1461886 2192829 2902824 2923772 4385658 5847544 6578487 8771316 13156974 17542632 19735461 26313948 39470922 52627896 65053927 78941844 110372393 130107854 157883688 195161781 220744786 260215708 331117179 390323562 441489572 520431416 585485343 662234358 780647124 882979144 993351537 1170970686 1324468716 1561294248 1756456029 1986703074 2341941372 2648937432 2980054611 3512912058 3973406148 4683882744 5960109222 7025824116 7946812296 9823142977 11920218444 14051648232 19646285954 23840436888 29469428931 39292571908 58938857862 78585143816 88408286793 117877715724 176816573586 235755431448 265224860379 353633147172 530449720758 707266294344 1060899441516 2121798883032