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497033460036 = 22345327392
BaseRepresentation
bin1110011101110011000…
…00001011100101000100
31202111221010010212110000
413032321200023211010
531120411031210121
61020200052001300
750623644462651
oct7167140134504
91674833125400
10497033460036
11181877481083
12803b3600230
1337b40680399
141a0b124ac28
15cde049d526
hex73b980b944

497033460036 has 135 divisors (see below), whose sum is σ = 1326116597421. Its totient is φ = 162331861536.

The previous prime is 497033460031. The next prime is 497033460061. The reversal of 497033460036 is 630064330794.

The square root of 497033460036 is 705006.

It is a perfect power (a square), and thus also a powerful number.

497033460036 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 3 + 3 + 4 + 600 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358309988100 + 138723471936 = 598590^2 + 372456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 497033459973 and 497033460000.

It is not an unprimeable number, because it can be changed into a prime (497033460031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 672575355 + ... + 672576093.

Almost surely, 2497033460036 is an apocalyptic number.

497033460036 is the 705006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497033460036

497033460036 is an abundant number, since it is smaller than the sum of its proper divisors (829083137385).

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

497033460036 is an frugal number, since it uses more digits than its factorization.

497033460036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 497033460036 in words is "four hundred ninety-seven billion, thirty-three million, four hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 739 954 1431 1478 1908 2217 2809 2862 2956 4293 4434 5618 5724 6651 8427 8586 8868 11236 13302 16854 17172 19953 25281 26604 33708 39167 39906 50562 59859 75843 78334 79812 101124 117501 119718 151686 156668 227529 235002 239436 303372 352503 455058 470004 546121 705006 910116 1057509 1092242 1410012 1638363 2075851 2115018 2184484 3172527 3276726 4151702 4230036 4915089 6227553 6345054 6553452 8303404 9830178 12455106 12690108 14745267 18682659 19660356 24910212 28944413 29490534 37365318 44235801 56047977 57888826 58981068 74730636 86833239 88471602 112095954 115777652 168143931 173666478 176943204 224191908 260499717 336287862 347332956 520999434 672575724 781499151 1041998868 1534053889 1562998302 2344497453 3068107778 3125996604 4602161667 4688994906 6136215556 9204323334 9377989812 13806485001 18408646668 27612970002 41419455003 55225940004 82838910006 124258365009 165677820012 248516730018 497033460036