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53045633130 = 23574124172549
BaseRepresentation
bin110001011001110001…
…000010000001101010
312001220211201100211220
4301121301002001222
51332114140230010
640211400002510
73555343304430
oct613161020152
9161824640756
1053045633130
1120550971326
12a344a60436
135004a40ac9
1427d3014d50
1515a6e4e970
hexc59c4206a

53045633130 has 128 divisors (see below), whose sum is σ = 149165452800. Its totient is φ = 11819458560.

The previous prime is 53045633119. The next prime is 53045633143. The reversal of 53045633130 is 3133654035.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53045633091 and 53045633100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20809096 + ... + 20811644.

It is an arithmetic number, because the mean of its divisors is an integer number (1165355100).

Almost surely, 253045633130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53045633130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74582726400).

53045633130 is an abundant number, since it is smaller than the sum of its proper divisors (96119819670).

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

53045633130 is a wasteful number, since it uses less digits than its factorization.

53045633130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024.

The product of its (nonzero) digits is 48600, while the sum is 33.

The spelling of 53045633130 in words is "fifty-three billion, forty-five million, six hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2417 2549 2870 4305 4834 5098 7251 7647 8610 12085 12745 14502 15294 16919 17843 24170 25490 33838 35686 36255 38235 50757 53529 72510 76470 84595 89215 99097 101514 104509 107058 169190 178430 198194 209018 253785 267645 297291 313527 495485 507570 522545 535290 594582 627054 693679 731563 990970 1045090 1387358 1463126 1486455 1567635 2081037 2194689 2972910 3135270 3468395 3657815 4162074 4389378 6160933 6936790 7315630 10405185 10973445 12321866 18482799 20810370 21946890 30804665 36965598 43126531 61609330 86253062 92413995 129379593 184827990 215632655 252598253 258759186 431265310 505196506 646897965 757794759 1262991265 1293795930 1515589518 1768187771 2525982530 3536375542 3788973795 5304563313 7577947590 8840938855 10609126626 17681877710 26522816565 53045633130