Search a number
-
+
52653757140 = 223254363110781
BaseRepresentation
bin110001000010011010…
…001001001011010100
312000220112100000001100
4301002122021023110
51330313330212030
640104440430100
73542544360015
oct610232111324
9160815300040
1052653757140
112036a745076
12a255778330
134c717b521a
142796d6700c
151582843360
hexc426892d4

52653757140 has 144 divisors (see below), whose sum is σ = 163704917376. Its totient is φ = 13691462400.

The previous prime is 52653757133. The next prime is 52653757199. The reversal of 52653757140 is 4175735625.

It is a happy number.

52653757140 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 37 + 571 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878550 + ... + 4889330.

It is an arithmetic number, because the mean of its divisors is an integer number (1136839704).

Almost surely, 252653757140 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 52653757140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81852458688).

52653757140 is an abundant number, since it is smaller than the sum of its proper divisors (111051160236).

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

52653757140 is a wasteful number, since it uses less digits than its factorization.

52653757140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11470 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 52653757140 in words is "fifty-two billion, six hundred fifty-three million, seven hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 631 645 774 860 1262 1290 1548 1893 1935 2524 2580 3155 3786 3870 5679 6310 7572 7740 9465 10781 11358 12620 18930 21562 22716 27133 28395 32343 37860 43124 53905 54266 56790 64686 81399 97029 107810 108532 113580 129372 135665 161715 162798 194058 215620 244197 271330 323430 325596 388116 406995 463583 485145 488394 542660 646860 813990 927166 970290 976788 1220985 1390749 1627980 1854332 1940580 2317915 2441970 2781498 4172247 4635830 4883940 5562996 6802811 6953745 8344494 9271660 13605622 13907490 16688988 20408433 20861235 27211244 27814980 34014055 40816866 41722470 61225299 68028110 81633732 83444940 102042165 122450598 136056220 204084330 244901196 292520873 306126495 408168660 585041746 612252990 877562619 1170083492 1224505980 1462604365 1755125238 2632687857 2925208730 3510250476 4387813095 5265375714 5850417460 8775626190 10530751428 13163439285 17551252380 26326878570 52653757140