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71311423568 = 247113736553
BaseRepresentation
bin100001001101001111…
…1011111100001010000
320211001211000122210212
41002122133133201100
52132021211023233
652432055143252
75103110045660
oct1023237374120
9224054018725
1071311423568
1128274492000
12119a2074b28
136956052128
143646c6c1a0
151cc580aa48
hex109a7df850

71311423568 has 160 divisors (see below), whose sum is σ = 176088467712. Its totient is φ = 27398891520.

The previous prime is 71311423567. The next prime is 71311423583. The reversal of 71311423568 is 86532411317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71311423567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10878980 + ... + 10885532.

Almost surely, 271311423568 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 71311423568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88044233856).

71311423568 is an abundant number, since it is smaller than the sum of its proper divisors (104777044144).

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

71311423568 is a wasteful number, since it uses less digits than its factorization.

71311423568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6646 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The spelling of 71311423568 in words is "seventy-one billion, three hundred eleven million, four hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 73 77 88 112 121 146 154 176 242 292 308 484 511 584 616 803 847 968 1022 1168 1232 1331 1606 1694 1936 2044 2662 3212 3388 4088 5324 5621 6424 6553 6776 8176 8833 9317 10648 11242 12848 13106 13552 17666 18634 21296 22484 26212 35332 37268 44968 45871 52424 61831 70664 72083 74536 89936 91742 97163 104848 123662 141328 144166 149072 183484 194326 247324 288332 366968 388652 478369 494648 504581 576664 680141 733936 777304 792913 956738 989296 1009162 1153328 1360282 1554608 1585826 1913476 2018324 2720564 3171652 3348583 3826952 4036648 5262059 5441128 5550391 6343304 6697166 7653904 8073296 8722043 10524118 10882256 11100782 12686608 13394332 17444086 21048236 22201564 26788664 34888172 36834413 42096472 44403128 53577328 57882649 61054301 69776344 73668826 84192944 88806256 115765298 122108602 139552688 147337652 231530596 244217204 294675304 405178543 463061192 488434408 589350608 636709139 810357086 926122384 976868816 1273418278 1620714172 2546836556 3241428344 4456963973 5093673112 6482856688 8913927946 10187346224 17827855892 35655711784 71311423568