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2115419660952 = 233137199795783
BaseRepresentation
bin11110110010001000110…
…101100110001010011000
321111020021020022010111120
4132302020311212022120
5234124334413122302
64255451012525240
7305556033302223
oct36621065461230
97436236263446
102115419660952
11746165282434
122a1b95920820
13124638826440
147455b7765ba
153a060cc59bc
hex1ec88d66298

2115419660952 has 128 divisors (see below), whose sum is σ = 5781430287360. Its totient is φ = 641080419840.

The previous prime is 2115419660947. The next prime is 2115419660957. The reversal of 2115419660952 is 2590669145112.

It is an interprime number because it is at equal distance from previous prime (2115419660947) and next prime (2115419660957).

It is a junction number, because it is equal to n+sod(n) for n = 2115419660895 and 2115419660904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115419660957) by changing a digit.

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, 22037653 + ... + 22133435.

It is an arithmetic number, because the mean of its divisors is an integer number (45167424120).

Almost surely, 22115419660952 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 2115419660952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890715143680).

2115419660952 is an abundant number, since it is smaller than the sum of its proper divisors (3666010626408).

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

2115419660952 is a wasteful number, since it uses less digits than its factorization.

2115419660952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96873 (or 96869 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 2115419660952 in words is "two trillion, one hundred fifteen billion, four hundred nineteen million, six hundred sixty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 997 1704 1846 1994 2769 2991 3692 3988 5538 5982 7384 7976 11076 11964 12961 22152 23928 25922 38883 51844 70787 77766 95783 103688 141574 155532 191566 212361 283148 287349 311064 383132 424722 566296 574698 766264 849444 920231 1149396 1245179 1698888 1840462 2298792 2490358 2760693 3680924 3735537 4980716 5521386 6800593 7361848 7471074 9961432 11042772 13601186 14942148 20401779 22085544 27202372 29884296 40803558 54404744 81607116 88407709 95495651 163214232 176815418 190991302 265223127 286486953 353630836 381982604 530446254 572973906 707261672 763965208 1060892508 1145947812 1241443463 2121785016 2291895624 2482886926 3724330389 4965773852 6780191221 7448660778 9931547704 13560382442 14897321556 20340573663 27120764884 29794643112 40681147326 54241529768 81362294652 88142485873 162724589304 176284971746 264427457619 352569943492 528854915238 705139886984 1057709830476 2115419660952