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71485482560 = 2652915494973
BaseRepresentation
bin100001010010011011…
…1011110011001000000
320211111221112202212012
41002210313132121000
52132400240420220
652501233552052
75110322401412
oct1024467363100
9224457482765
1071485482560
1128353767108
1211a30415628
136983125b0b
14366201a9b2
151cd5c3dac5
hex10a4dde640

71485482560 has 112 divisors (see below), whose sum is σ = 176243742000. Its totient is φ = 27584815104.

The previous prime is 71485482547. The next prime is 71485482643. The reversal of 71485482560 is 6528458417.

It can be written as a sum of positive squares in 8 ways, for example, as 307511296 + 71177971264 = 17536^2 + 266792^2 .

It is a super-2 number, since 2×714854825602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71485482499 and 71485482508.

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, 14372234 + ... + 14377206.

Almost surely, 271485482560 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 71485482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88121871000).

71485482560 is an abundant number, since it is smaller than the sum of its proper divisors (104758259440).

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

71485482560 is a wasteful number, since it uses less digits than its factorization.

71485482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 71485482560 in words is "seventy-one billion, four hundred eighty-five million, four hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1549 1856 2320 3098 4640 4973 6196 7745 9280 9946 12392 15490 19892 24784 24865 30980 39784 44921 49568 49730 61960 79568 89842 99136 99460 123920 144217 159136 179684 198920 224605 247840 288434 318272 359368 397840 449210 495680 576868 718736 721085 795680 898420 1153736 1437472 1442170 1591360 1796840 2307472 2874944 2884340 3593680 4614944 5768680 7187360 7703177 9229888 11537360 14374720 15406354 23074720 30812708 38515885 46149440 61625416 77031770 123250832 154063540 223392133 246501664 308127080 446784266 493003328 616254160 893568532 1116960665 1232508320 1787137064 2233921330 2465016640 3574274128 4467842660 7148548256 8935685320 14297096512 17871370640 35742741280 71485482560