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71324644735136 = 2513316019202591
BaseRepresentation
bin10000001101111010010000…
…000111001111100010100000
3100100112120101010101111001202
4100031322100013033202200
533322040333023011021
6411410031153220332
721011015121063242
oct2015722007174240
9310476333344052
1071324644735136
11207a9680583611
127bbb23b2616a8
1330a4b67859c50
1413881ba11a092
1583a4b7314a0b
hex40de901cf8a0

71324644735136 has 96 divisors (see below), whose sum is σ = 156359841878016. Its totient is φ = 31804151040000.

The previous prime is 71324644735133. The next prime is 71324644735147. The reversal of 71324644735136 is 63153744642317.

It is not an unprimeable number, because it can be changed into a prime (71324644735133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3149201 + ... + 12351791.

It is an arithmetic number, because the mean of its divisors is an integer number (1628748352896).

Almost surely, 271324644735136 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 71324644735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78179920939008).

71324644735136 is an abundant number, since it is smaller than the sum of its proper divisors (85035197142880).

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

71324644735136 is a wasteful number, since it uses less digits than its factorization.

71324644735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203246 (or 9203238 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 56.

The spelling of 71324644735136 in words is "seventy-one trillion, three hundred twenty-four billion, six hundred forty-four million, seven hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 601 806 992 1202 1612 2404 3224 4808 6448 7813 9616 12896 15626 18631 19232 31252 37262 62504 74524 125008 149048 242203 250016 298096 484406 596192 968812 1937624 3875248 7750496 9202591 18405182 36810364 73620728 119633683 147241456 239267366 285280321 294482912 478534732 570560642 957069464 1141121284 1914138928 2282242568 3708644173 3828277856 4564485136 5530757191 7417288346 9128970272 11061514382 14834576692 22123028764 29669153384 44246057528 59338306768 71899843483 88492115056 118676613536 143799686966 171453472921 176984230112 287599373932 342906945842 575198747864 685813891684 1150397495728 1371627783368 2228895147973 2300794991456 2743255566736 4457790295946 5486511133472 8915580591892 17831161183784 35662322367568 71324644735136