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53315752420 = 225721071732939
BaseRepresentation
bin110001101001110111…
…011101000111100100
312002121122222211212001
4301221313131013210
51333142313034140
640254245335044
73565133263300
oct615167350744
9162548884761
1053315752420
112067a396a07
12a3bb407484
1350489a8cc8
14281ac4ad00
1515c0a09e9a
hexc69ddd1e4

53315752420 has 144 divisors (see below), whose sum is σ = 132264861120. Its totient is φ = 17998046976.

The previous prime is 53315752381. The next prime is 53315752423. The reversal of 53315752420 is 2425751335.

It is a happy number.

It is a super-2 number, since 2×533157524202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53315752420.

It is not an unprimeable number, because it can be changed into a prime (53315752423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18139311 + ... + 18142249.

It is an arithmetic number, because the mean of its divisors is an integer number (918505980).

Almost surely, 253315752420 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 53315752420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66132430560).

53315752420 is an abundant number, since it is smaller than the sum of its proper divisors (78949108700).

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

53315752420 is a wasteful number, since it uses less digits than its factorization.

53315752420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 53315752420 in words is "fifty-three billion, three hundred fifteen million, seven hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 173 196 214 245 346 428 490 535 692 749 865 980 1070 1211 1498 1730 2140 2422 2939 2996 3460 3745 4844 5243 5878 6055 7490 8477 10486 11756 12110 14695 14980 16954 18511 20573 20972 24220 26215 29390 33908 37022 41146 42385 52430 58780 74044 82292 84770 92555 102865 104860 129577 144011 169540 185110 205730 259154 288022 314473 370220 411460 508447 518308 576044 628946 647885 720055 907039 1016894 1257892 1295770 1440110 1572365 1814078 2033788 2201311 2542235 2591540 2880220 3144730 3559129 3628156 4402622 4535195 5084470 6289460 7118258 8805244 9070390 10168940 11006555 14236516 15409177 17795645 18140780 22013110 24913903 30818354 35591290 44026220 49827806 54403829 61636708 71182580 77045885 99655612 108807658 124569515 154091770 217615316 249139030 272019145 308183540 380826803 498278060 544038290 761653606 1088076580 1523307212 1904134015 2665787621 3808268030 5331575242 7616536060 10663150484 13328938105 26657876210 53315752420