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6441481497456 = 2432414057268927
BaseRepresentation
bin101110110111100011000…
…1101110110101101110000
3211210210120220212022211200
41131233012031312231300
51321014123230404311
621411101543411200
71233244626216435
oct135570615665560
924723526768750
106441481497456
1120638a9415855
1288049b153b00
13379576964cb5
14183aab207b8c
15b285745a556
hex5dbc6376b70

6441481497456 has 120 divisors (see below), whose sum is σ = 18471510081024. Its totient is φ = 2094266603520.

The previous prime is 6441481497401. The next prime is 6441481497469. The reversal of 6441481497456 is 6547941841446.

6441481497456 is a `hidden beast` number, since 6 + 4 + 4 + 14 + 81 + 4 + 97 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6441481497393 and 6441481497402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23818065 + ... + 24086991.

Almost surely, 26441481497456 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 6441481497456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235755040512).

6441481497456 is an abundant number, since it is smaller than the sum of its proper divisors (12030028583568).

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

6441481497456 is a wasteful number, since it uses less digits than its factorization.

6441481497456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273039 (or 273030 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 6441481497456 in words is "six trillion, four hundred forty-one billion, four hundred eighty-one million, four hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 4057 5904 8114 12171 16228 24342 32456 36513 48684 64912 73026 97368 146052 166337 194736 268927 292104 332674 499011 537854 584208 665348 806781 998022 1075708 1330696 1497033 1613562 1996044 2151416 2420343 2661392 2994066 3227124 3992088 4302832 4840686 5988132 6454248 7984176 9681372 11026007 11976264 12908496 19362744 22052014 23952528 33078021 38725488 44104028 66156042 88208056 99234063 132312084 176416112 198468126 264624168 396936252 529248336 793872504 1091036839 1587745008 2182073678 3273110517 4364147356 6546221034 8728294712 9819331551 13092442068 17456589424 19638663102 26184884136 39277326204 44732510399 52369768272 78554652408 89465020798 134197531197 157109304816 178930041596 268395062394 357860083192 402592593591 536790124788 715720166384 805185187182 1073580249576 1610370374364 2147160499152 3220740748728 6441481497456