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71481140496 = 243534635309
BaseRepresentation
bin100001010010010011…
…0111010010100010000
320211111122101011200000
41002210212322110100
52132343132443441
652501000530000
75110240445343
oct1024446722420
9224448334600
1071481140496
1128351270927
1211a2aa80900
13698226564c
14366160a45a
151cd56822b6
hex10a49ba510

71481140496 has 120 divisors (see below), whose sum is σ = 207556090560. Its totient is φ = 23815679616.

The previous prime is 71481140483. The next prime is 71481140501. The reversal of 71481140496 is 69404118417.

71481140496 is a `hidden beast` number, since 7 + 1 + 48 + 114 + 0 + 496 = 666.

It is a super-2 number, since 2×714811404962 (a number of 23 digits) contains 22 as substring.

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, 13461490 + ... + 13466798.

It is an arithmetic number, because the mean of its divisors is an integer number (1729634088).

Almost surely, 271481140496 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 71481140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103778045280).

71481140496 is an abundant number, since it is smaller than the sum of its proper divisors (136074950064).

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

71481140496 is a wasteful number, since it uses less digits than its factorization.

71481140496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71481140496 in words is "seventy-one billion, four hundred eighty-one million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3463 3888 5309 6926 10389 10618 13852 15927 20778 21236 27704 31167 31854 41556 42472 47781 55408 62334 63708 83112 84944 93501 95562 124668 127416 143343 166224 187002 191124 249336 254832 280503 286686 374004 382248 430029 498672 561006 573372 748008 764496 841509 860058 1122012 1146744 1290087 1496016 1683018 1720116 2244024 2293488 2580174 3366036 3440232 4488048 5160348 6732072 6880464 10320696 13464144 18385067 20641392 36770134 55155201 73540268 110310402 147080536 165465603 220620804 294161072 330931206 441241608 496396809 661862412 882483216 992793618 1323724824 1489190427 1985587236 2647449648 2978380854 3971174472 4467571281 5956761708 7942348944 8935142562 11913523416 17870285124 23827046832 35740570248 71481140496