Search a number
-
+
535536407320752 = 243167149344747779
BaseRepresentation
bin111100111000100010100100…
…1010100101001100010110000
32121020011210002000101202122110
41321301011021110221202300
51030143212030233231002
65134554010144005320
7220542141261325125
oct17161051124514260
92536153060352573
10535536407320752
11145702795588812
1250092663300840
1319ca8b3597b5b6
14963615977874c
1541da7e6deae6c
hex1e711495298b0

535536407320752 has 80 divisors (see below), whose sum is σ = 1392685514922240. Its totient is φ = 177324346765056.

The previous prime is 535536407320657. The next prime is 535536407320771. The reversal of 535536407320752 is 257023704635535.

It is a junction number, because it is equal to n+sod(n) for n = 535536407320692 and 535536407320701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10406002 + ... + 34341777.

It is an arithmetic number, because the mean of its divisors is an integer number (17408568936528).

Almost surely, 2535536407320752 is an apocalyptic number.

It is an amenable number.

535536407320752 is an abundant number, since it is smaller than the sum of its proper divisors (857149107601488).

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

535536407320752 is a wasteful number, since it uses less digits than its factorization.

535536407320752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44749450 (or 44749444 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 57.

The spelling of 535536407320752 in words is "five hundred thirty-five trillion, five hundred thirty-six billion, four hundred seven million, three hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 1493 2004 2672 2986 4008 4479 5972 8016 8958 11944 17916 23888 35832 71664 249331 498662 747993 997324 1495986 1994648 2991972 3989296 5983944 11967888 44747779 89495558 134243337 178991116 268486674 357982232 536973348 715964464 1073946696 2147893392 7472879093 14945758186 22418637279 29891516372 44837274558 59783032744 66808434047 89674549116 119566065488 133616868094 179349098232 200425302141 267233736188 358698196464 400850604282 534467472376 801701208564 1068934944752 1603402417128 3206804834256 11157008485849 22314016971698 33471025457547 44628033943396 66942050915094 89256067886792 133884101830188 178512135773584 267768203660376 535536407320752