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709827069312 = 2734293233663
BaseRepresentation
bin10100101010001001111…
…11011000010110000000
32111212012001212020120000
422111010333120112000
543112211212204222
61302031241320000
7102166114352244
oct12250477302600
92455161766500
10709827069312
1125404396a289
12b569b796000
1351c2338a15a
14264da4d0424
15136e6ba69ac
hexa544fd8580

709827069312 has 160 divisors (see below), whose sum is σ = 2119652599680. Its totient is φ = 235800474624.

The previous prime is 709827069311. The next prime is 709827069323. The reversal of 709827069312 is 213960728907.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (709827069311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2920993 + ... + 3154655.

It is an arithmetic number, because the mean of its divisors is an integer number (13247828748).

Almost surely, 2709827069312 is an apocalyptic number.

709827069312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 709827069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059826299840).

709827069312 is an abundant number, since it is smaller than the sum of its proper divisors (1409825530368).

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

709827069312 is a wasteful number, since it uses less digits than its factorization.

709827069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233982 (or 233961 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 709827069312 in words is "seven hundred nine billion, eight hundred twenty-seven million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 293 324 384 432 576 586 648 864 879 1152 1172 1296 1728 1758 2344 2592 2637 3456 3516 4688 5184 5274 7032 7911 9376 10368 10548 14064 15822 18752 21096 23733 28128 31644 37504 42192 47466 56256 63288 84384 94932 112512 126576 168768 189864 233663 253152 337536 379728 467326 506304 700989 759456 934652 1012608 1401978 1518912 1869304 2102967 2803956 3037824 3738608 4205934 5607912 6308901 7477216 8411868 11215824 12617802 14954432 16823736 18926703 22431648 25235604 29908864 33647472 37853406 44863296 50471208 67294944 68463259 75706812 89726592 100942416 134589888 136926518 151413624 201884832 205389777 269179776 273853036 302827248 403769664 410779554 547706072 605654496 616169331 807539328 821559108 1095412144 1211308992 1232338662 1643118216 1848507993 2190824288 2422617984 2464677324 3286236432 3697015986 4381648576 4929354648 5545523979 6572472864 7394031972 8763297152 9858709296 11091047958 13144945728 14788063944 19717418592 22182095916 26289891456 29576127888 39434837184 44364191832 59152255776 78869674368 88728383664 118304511552 177456767328 236609023104 354913534656 709827069312