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2053242661350 = 2352127122388129
BaseRepresentation
bin11101111000001110110…
…011001010100111100110
321021021210000022021201110
4131320032303022213212
5232120020110130400
64211125140005450
7301225160442006
oct35701663124746
97237700267643
102053242661350
11721858a55351
12291b22990886
1311b80a05b90a
147153db12006
153862239ae50
hex1de0ecca9e6

2053242661350 has 96 divisors (see below), whose sum is σ = 5136391249920. Its totient is φ = 542769776640.

The previous prime is 2053242661339. The next prime is 2053242661363. The reversal of 2053242661350 is 531662423502.

It is a junction number, because it is equal to n+sod(n) for n = 2053242661299 and 2053242661308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23254086 + ... + 23342214.

It is an arithmetic number, because the mean of its divisors is an integer number (53504075520).

Almost surely, 22053242661350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053242661350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568195624960).

2053242661350 is an abundant number, since it is smaller than the sum of its proper divisors (3083148588570).

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

2053242661350 is a wasteful number, since it uses less digits than its factorization.

2053242661350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89494 (or 89489 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 2053242661350 in words is "two trillion, fifty-three billion, two hundred forty-two million, six hundred sixty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 762 1223 1270 1905 2446 3175 3669 3810 6115 6350 7338 9525 12230 18345 19050 30575 36690 61150 88129 91725 155321 176258 183450 264387 310642 440645 465963 528774 776605 881290 931926 1321935 1553210 2203225 2329815 2643870 3883025 4406450 4659630 6609675 7766050 11192383 11649075 13219350 22384766 23298150 33577149 55961915 67154298 107781767 111923830 167885745 215563534 279809575 323345301 335771490 538908835 559619150 646690602 839428725 1077817670 1616726505 1678857450 2694544175 3233453010 5389088350 8083632525 13688284409 16167265050 27376568818 41064853227 68441422045 82129706454 136882844090 205324266135 342207110225 410648532270 684414220450 1026621330675 2053242661350