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460551054656 = 26711157595261
BaseRepresentation
bin1101011001110101111…
…10110110010101000000
31122000202121001122121202
412230322332312111000
530021202032222111
6551324011240332
745162612242030
oct6547276662500
91560677048552
10460551054656
11168356077a30
12753117490a8
13345782b7a74
141840dcdb8c0
15bea76ebb3b
hex6b3afb6540

460551054656 has 112 divisors (see below), whose sum is σ = 1146674620032. Its totient is φ = 178292275200.

The previous prime is 460551054647. The next prime is 460551054701. The reversal of 460551054656 is 656450155064.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 460551054656.

It is a congruent number.

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, 476066 + ... + 1071326.

Almost surely, 2460551054656 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 460551054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573337310016).

460551054656 is an abundant number, since it is smaller than the sum of its proper divisors (686123565376).

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

460551054656 is a wasteful number, since it uses less digits than its factorization.

460551054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595448 (or 595438 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 460551054656 in words is "four hundred sixty billion, five hundred fifty-one million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 157 176 224 308 314 352 448 616 628 704 1099 1232 1256 1727 2198 2464 2512 3454 4396 4928 5024 6908 8792 10048 12089 13816 17584 24178 27632 35168 48356 55264 70336 96712 110528 193424 386848 595261 773696 1190522 2381044 4166827 4762088 6547871 8333654 9524176 13095742 16667308 19048352 26191484 33334616 38096704 45835097 52382968 66669232 91670194 93455977 104765936 133338464 183340388 186911954 209531872 266676928 366680776 373823908 419063744 654191839 733361552 747647816 1028015747 1308383678 1466723104 1495295632 2056031494 2616767356 2933446208 2990591264 4112062988 5233534712 5981182528 7196110229 8224125976 10467069424 14392220458 16448251952 20934138848 28784440916 32896503904 41868277696 57568881832 65793007808 115137763664 230275527328 460551054656