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490384966976 = 261719167142049
BaseRepresentation
bin1110010001011010011…
…10001100010101000000
31201212202202211102112022
413020231032030111000
531013302022420401
61013140231421012
750300124305162
oct7105516142500
91655682742468
10490384966976
11179a75590913
127b058b24768
133732113a518
1419a40270932
15cb5196971b
hex722d38c540

490384966976 has 112 divisors (see below), whose sum is σ = 1091080368000. Its totient is φ = 217312985088.

The previous prime is 490384966969. The next prime is 490384966987. The reversal of 490384966976 is 679669483094.

It is a super-2 number, since 2×4903849669762 (a number of 24 digits) contains 22 as substring.

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, 3381200 + ... + 3523248.

It is an arithmetic number, because the mean of its divisors is an integer number (9741789000).

Almost surely, 2490384966976 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 490384966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545540184000).

490384966976 is an abundant number, since it is smaller than the sum of its proper divisors (600695401024).

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

490384966976 is a wasteful number, since it uses less digits than its factorization.

490384966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142264 (or 142254 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 71.

The spelling of 490384966976 in words is "four hundred ninety billion, three hundred eighty-four million, nine hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 167 272 304 323 334 544 608 646 668 1088 1216 1292 1336 2584 2672 2839 3173 5168 5344 5678 6346 10336 10688 11356 12692 20672 22712 25384 45424 50768 53941 90848 101536 107882 142049 181696 203072 215764 284098 431528 568196 863056 1136392 1726112 2272784 2414833 2698931 3452224 4545568 4829666 5397862 9091136 9659332 10795724 19318664 21591448 23722183 38637328 43182896 45881827 47444366 77274656 86365792 91763654 94888732 154549312 172731584 183527308 189777464 367054616 379554928 403277111 450721477 734109232 759109856 806554222 901442954 1468218464 1518219712 1613108444 1802885908 2936436928 3226216888 3605771816 6452433776 7211543632 7662265109 12904867552 14423087264 15324530218 25809735104 28846174528 30649060436 61298120872 122596241744 245192483488 490384966976