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71324478336 = 2731993832437
BaseRepresentation
bin100001001101101000…
…1010010101110000000
320211002201120220120210
41002123101102232000
52132033031301321
652433243034120
75103326030346
oct1023321225600
9224081526523
1071324478336
1128280899271
12119a650b940
136958973247
1436488a9996
151cc6a38b76
hex109b452b80

71324478336 has 128 divisors (see below), whose sum is σ = 190983168000. Its totient is φ = 23583909888.

The previous prime is 71324478283. The next prime is 71324478341. The reversal of 71324478336 is 63387442317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2032128) is a multiple of the sum of its prime divisors (3024).

It is a congruent number.

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, 29266110 + ... + 29268546.

It is an arithmetic number, because the mean of its divisors is an integer number (1492056000).

Almost surely, 271324478336 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 71324478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95491584000).

71324478336 is an abundant number, since it is smaller than the sum of its proper divisors (119658689664).

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

71324478336 is a wasteful number, since it uses less digits than its factorization.

71324478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3024 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The spelling of 71324478336 in words is "seventy-one billion, three hundred twenty-four million, four hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 383 384 398 597 766 796 1149 1194 1532 1592 2298 2388 2437 3064 3184 4596 4776 4874 6128 6368 7311 9192 9552 9748 12256 12736 14622 18384 19104 19496 24512 25472 29244 36768 38208 38992 49024 58488 73536 76217 76416 77984 116976 147072 152434 155968 228651 233952 304868 311936 457302 467904 484963 609736 914604 933371 935808 969926 1219472 1454889 1829208 1866742 1939852 2438944 2800113 2909778 3658416 3733484 3879704 4877888 5600226 5819556 7316832 7466968 7759408 9755776 11200452 11639112 14633664 14933936 15518816 22400904 23278224 29267328 29867872 31037632 44801808 46556448 59735744 62075264 89603616 93112896 119471488 179207232 185740829 186225792 358414464 371481658 557222487 742963316 1114444974 1485926632 2228889948 2971853264 4457779896 5943706528 8915559792 11887413056 17831119584 23774826112 35662239168 71324478336