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53352126316424 = 231313749123813203
BaseRepresentation
bin11000010000110000000101…
…00010010111111110001000
320222220102011102012210202002
430020120002202113332020
523443110123314111144
6305245343425530132
714144364266114555
oct1410300242277610
9228812142183662
1053352126316424
1115aaa567467111
125b97bbb1a3948
1323a01124c47a0
14d2638450da2c
15627c27e1c14e
hex308602897f88

53352126316424 has 128 divisors (see below), whose sum is σ = 108817250532480. Its totient is φ = 24376677427200.

The previous prime is 53352126316421. The next prime is 53352126316471. The reversal of 53352126316424 is 42461362125335.

It is not an unprimeable number, because it can be changed into a prime (53352126316421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16656922007 + ... + 16656925209.

It is an arithmetic number, because the mean of its divisors is an integer number (850134769785).

Almost surely, 253352126316424 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 53352126316424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54408625266240).

53352126316424 is an abundant number, since it is smaller than the sum of its proper divisors (55465124216056).

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

53352126316424 is a wasteful number, since it uses less digits than its factorization.

53352126316424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6227 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 47.

The spelling of 53352126316424 in words is "fifty-three trillion, three hundred fifty-two billion, one hundred twenty-six million, three hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 137 274 491 548 982 1096 1781 1964 2381 3203 3562 3928 4762 6383 6406 7124 9524 12766 12812 14248 19048 25532 25624 30953 41639 51064 61906 67267 83278 123812 134534 166556 247624 269068 326197 333112 438811 538136 652394 874471 877622 1169071 1304788 1572673 1748942 1755244 2338142 2609576 3145346 3497884 3510488 4240561 4676284 5704543 6290692 6995768 7626343 8481122 9352568 11409086 12581384 15197923 15252686 16962244 20444749 22818172 30395846 30505372 33924488 40889498 45636344 60791692 61010744 81778996 99142459 121583384 160162727 163557992 198284918 215456201 320325454 396569836 430912402 640650908 793139672 861824804 1044808991 1281301816 1723649608 2082115451 2089617982 2800930613 3744534413 4164230902 4179235964 5601861226 7489068826 8328461804 8358471928 11203722452 13582516883 14978137652 16656923608 22407444904 27165033766 29956275304 48678947369 54330067532 97357894738 108660135064 194715789476 389431578952 513001214581 1026002429162 2052004858324 4104009716648 6669015789553 13338031579106 26676063158212 53352126316424