Search a number
-
+
495813207296 = 28114133712743
BaseRepresentation
bin1110011011100001100…
…01010010010100000000
31202101210002000121101002
413031300301102110000
531110411140113141
61015435021431132
750551466503541
oct7156061222400
91671702017332
10495813207296
111813006a2140
1280112a0b4a8
13379a7917744
1419dd71684c8
15cd6d2b1e9b
hex7370c52500

495813207296 has 144 divisors (see below), whose sum is σ = 1109363568768. Its totient is φ = 219203174400.

The previous prime is 495813207283. The next prime is 495813207301. The reversal of 495813207296 is 692702318594.

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, 38902301 + ... + 38915043.

It is an arithmetic number, because the mean of its divisors is an integer number (7703913672).

It is a 1-persistent number, because it is pandigital, but 2⋅495813207296 = 991626414592 is not.

Almost surely, 2495813207296 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 495813207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554681784384).

495813207296 is an abundant number, since it is smaller than the sum of its proper divisors (613550361472).

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

495813207296 is a wasteful number, since it uses less digits than its factorization.

495813207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 495813207296 in words is "four hundred ninety-five billion, eight hundred thirteen million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 337 352 451 656 674 704 902 1312 1348 1408 1804 2624 2696 2816 3608 3707 5248 5392 7216 7414 10496 10784 12743 13817 14432 14828 21568 25486 27634 28864 29656 43136 50972 55268 57728 59312 86272 101944 110536 115456 118624 140173 151987 203888 221072 237248 280346 303974 407776 442144 474496 522463 560692 607948 815552 884288 948992 1044926 1121384 1215896 1631104 1768576 2089852 2242768 2431792 3262208 3537152 4179704 4294391 4485536 4863584 5747093 8359408 8588782 8971072 9727168 11494186 16718816 17177564 17942144 19454336 22988372 33437632 34355128 35884288 38908672 45976744 47238301 66875264 68710256 91953488 94476602 133750528 137420512 176070031 183906976 188953204 274841024 352140062 367813952 377906408 549682048 704280124 735627904 755812816 1099364096 1408560248 1471255808 1511625632 1936770341 2817120496 3023251264 3873540682 5634240992 6046502528 7747081364 11268481984 12093005056 15494162728 22536963968 30988325456 45073927936 61976650912 123953301824 247906603648 495813207296