Search a number
-
+
53063867359656 = 23343718231214047
BaseRepresentation
bin11000001000010111001001…
…11101101110000110101000
320221212212010011010120110000
430010023210331232012220
523423344300021002111
6304505112032023000
714114511046321026
oct1404134475560650
9227785104116400
1053063867359656
11159a929483042a
125b50171991a60
13237bb93ca024a
14d1643a85b716
156204a63cac56
hex3042e4f6e1a8

53063867359656 has 160 divisors (see below), whose sum is σ = 152728792381440. Its totient is φ = 17200448330112.

The previous prime is 53063867359649. The next prime is 53063867359681. The reversal of 53063867359656 is 65695376836035.

It is a happy number.

53063867359656 is a `hidden beast` number, since 530 + 6 + 3 + 8 + 6 + 7 + 35 + 9 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43101225 + ... + 44315271.

It is an arithmetic number, because the mean of its divisors is an integer number (954554952384).

Almost surely, 253063867359656 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 53063867359656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76364396190720).

53063867359656 is an abundant number, since it is smaller than the sum of its proper divisors (99664925021784).

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

53063867359656 is a wasteful number, since it uses less digits than its factorization.

53063867359656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215925 (or 1215912 counting only the distinct ones).

The product of its (nonzero) digits is 2204496000, while the sum is 72.

The spelling of 53063867359656 in words is "fifty-three trillion, sixty-three billion, eight hundred sixty-seven million, three hundred fifty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1823 1998 2664 2997 3646 3996 5469 5994 7292 7992 10938 11988 14584 16407 21876 23976 32814 43752 49221 65628 67451 98442 131256 134902 147663 196884 202353 269804 295326 393768 404706 539608 590652 607059 809412 1181304 1214047 1214118 1618824 1821177 2428094 2428236 3642141 3642354 4856188 4856472 5463531 7284282 7284708 9712376 10926423 10927062 14568564 14569416 21852846 21854124 29137128 32779269 43705692 43708248 44919739 65558538 87411384 89839478 98337807 131117076 134759217 179678956 196675614 262234152 269518434 359357912 393351228 404277651 539036868 786702456 808555302 1078073736 1212832953 1617110604 2213207681 2425665906 3234221208 3638498859 4426415362 4851331812 6639623043 7276997718 8852830724 9702663624 13279246086 14553995436 17705661448 19918869129 26558492172 29107990872 39837738258 53116984344 59756607387 79675476516 81888684197 119513214774 159350953032 163777368394 179269822161 239026429548 245666052591 327554736788 358539644322 478052859096 491332105182 655109473576 717079288644 736998157773 982664210364 1434158577288 1473996315546 1965328420728 2210994473319 2947992631092 4421988946638 5895985262184 6632983419957 8843977893276 13265966839914 17687955786552 26531933679828 53063867359656