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2125794033920 = 28519925913221
BaseRepresentation
bin11110111011110011001…
…100101100000100000000
321112020001020111212210102
4132323303030230010000
5234312111233041140
64304324251421532
7306404105102444
oct36736314540400
97466036455712
102125794033920
1174a5a9349397
122a3bb01548a8
131255ccc5177b
1474c6350c824
153a46b983e15
hex1eef332c100

2125794033920 has 144 divisors (see below), whose sum is σ = 5121093196800. Its totient is φ = 845455564800.

The previous prime is 2125794033907. The next prime is 2125794033941. The reversal of 2125794033920 is 293304975212.

It is a super-2 number, since 2×21257940339202 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 659977910 + ... + 659981130.

It is an arithmetic number, because the mean of its divisors is an integer number (35563147200).

Almost surely, 22125794033920 is an apocalyptic number.

2125794033920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125794033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560546598400).

2125794033920 is an abundant number, since it is smaller than the sum of its proper divisors (2995299162880).

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

2125794033920 is a wasteful number, since it uses less digits than its factorization.

2125794033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 2125794033920 in words is "two trillion, one hundred twenty-five billion, seven hundred ninety-four million, thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 640 796 995 1280 1592 1990 2591 3184 3221 3980 5182 6368 6442 7960 10364 12736 12884 12955 15920 16105 20728 25472 25768 25910 31840 32210 41456 50944 51536 51820 63680 64420 82912 103072 103640 127360 128840 165824 206144 207280 254720 257680 331648 412288 414560 515360 515609 640979 663296 824576 829120 1030720 1031218 1281958 1658240 2061440 2062436 2563916 2578045 3204895 3316480 4122880 4124872 5127832 5156090 6409790 8249744 8345611 10255664 10312180 12819580 16499488 16691222 20511328 20624360 25639160 32998976 33382444 41022656 41248720 41728055 51278320 65997952 66764888 82045312 82497440 83456110 102556640 131995904 133529776 164090624 164994880 166912220 205113280 267059552 329989760 333824440 410226560 534119104 659979520 667648880 820453120 1068238208 1335297760 1660776589 2136476416 2670595520 3321553178 5341191040 6643106356 8303882945 10682382080 13286212712 16607765890 26572425424 33215531780 53144850848 66431063560 106289701696 132862127120 212579403392 265724254240 425158806784 531448508480 1062897016960 2125794033920