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492755080704 = 2933130793361
BaseRepresentation
bin1110010101110100111…
…11011101011000000000
31202002212221121200100020
413022322133131120000
531033130300040304
61014211335253440
750412634035555
oct7127237353000
91662787550306
10492755080704
1117aa81440397
127b5ba81a280
133760b190b93
1419bc6d50a2c
15cc3ea8a5d9
hex72ba7dd600

492755080704 has 160 divisors (see below), whose sum is σ = 1355919882240. Its totient is φ = 158854348800.

The previous prime is 492755080693. The next prime is 492755080721. The reversal of 492755080704 is 407080557294.

It is a happy number.

492755080704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 146607984 + ... + 146611344.

It is an arithmetic number, because the mean of its divisors is an integer number (8474499264).

Almost surely, 2492755080704 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 492755080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677959941120).

492755080704 is an abundant number, since it is smaller than the sum of its proper divisors (863164801536).

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

492755080704 is a wasteful number, since it uses less digits than its factorization.

492755080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 492755080704 in words is "four hundred ninety-two billion, seven hundred fifty-five million, eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3079 3361 3968 5952 6158 6722 7936 9237 10083 11904 12316 13444 15872 18474 20166 23808 24632 26888 36948 40332 47616 49264 53776 73896 80664 95449 98528 104191 107552 147792 161328 190898 197056 208382 215104 286347 295584 312573 322656 381796 394112 416764 430208 572694 591168 625146 645312 763592 788224 833528 860416 1145388 1182336 1250292 1290624 1527184 1576448 1667056 1720832 2290776 2364672 2500584 2581248 3054368 3334112 4581552 4729344 5001168 5162496 6108736 6668224 9163104 10002336 10348519 12217472 13336448 18326208 20004672 20697038 24434944 26672896 31045557 36652416 40009344 41394076 48869888 53345792 62091114 73304832 80018688 82788152 124182228 146609664 160037376 165576304 248364456 320804089 331152608 496728912 641608178 662305216 962412267 993457824 1283216356 1324610432 1924824534 1986915648 2566432712 2649220864 3849649068 3973831296 5132865424 5298441728 7699298136 7947662592 10265730848 15398596272 15895325184 20531461696 30797192544 41062923392 61594385088 82125846784 123188770176 164251693568 246377540352 492755080704