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489471096744 = 233272281493733
BaseRepresentation
bin1110001111101101100…
…00000011011110101000
31201210102002020000020200
413013312300003132220
531004414100043434
61012505424152200
750235356450400
oct7076660033650
91653362200220
10489471096744
11179646745663
127aa42a68660
13372069c87c6
1419994b43800
15caeb5ed199
hex71f6c037a8

489471096744 has 144 divisors (see below), whose sum is σ = 1547574661620. Its totient is φ = 139350919680.

The previous prime is 489471096731. The next prime is 489471096767. The reversal of 489471096744 is 447690174984.

489471096744 is a `hidden beast` number, since 4 + 8 + 9 + 471 + 0 + 96 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 471845348100 + 17625748644 = 686910^2 + 132762^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 744502 + ... + 1238234.

Almost surely, 2489471096744 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 489471096744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773787330810).

489471096744 is an abundant number, since it is smaller than the sum of its proper divisors (1058103564876).

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

489471096744 is a wasteful number, since it uses less digits than its factorization.

489471096744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494040 (or 494026 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 489471096744 in words is "four hundred eighty-nine billion, four hundred seventy-one million, ninety-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 281 294 392 441 504 562 588 843 882 1124 1176 1686 1764 1967 2248 2529 3372 3528 3934 5058 5901 6744 7868 10116 11802 13769 15736 17703 20232 23604 27538 35406 41307 47208 55076 70812 82614 110152 123921 141624 165228 247842 330456 493733 495684 987466 991368 1481199 1974932 2962398 3456131 3949864 4443597 5924796 6912262 8887194 10368393 11849592 13824524 17774388 20736786 24192917 27649048 31105179 35548776 41473572 48385834 62210358 72578751 82947144 96771668 124420716 138738973 145157502 193543336 217736253 248841432 277477946 290315004 416216919 435472506 554955892 580630008 832433838 870945012 971172811 1109911784 1248650757 1664867676 1741890024 1942345622 2497301514 2913518433 3329735352 3884691244 4994603028 5827036866 6798209677 7769382488 8740555299 9989206056 11654073732 13596419354 17481110598 20394629031 23308147464 27192838708 34962221196 40789258062 54385677416 61183887093 69924442392 81578516124 122367774186 163157032248 244735548372 489471096744