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10480605529408 = 267831987141851
BaseRepresentation
bin1001100010000011010011…
…0001010000010101000000
31101002221021102022210000021
42120200310301100111000
52333203240003420113
634142420153303224
72131125114055630
oct230406461202500
941087242283007
1010480605529408
113380888657723
121213265704b14
135b04171b1ca1
1428339a6526c0
1513295806b48d
hex98834c50540

10480605529408 has 112 divisors (see below), whose sum is σ = 24067159570944. Its totient is φ = 4435306790400.

The previous prime is 10480605529397. The next prime is 10480605529439. The reversal of 10480605529408 is 80492550608401.

It is a tau number, because it is divible by the number of its divisors (112).

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, 73813683 + ... + 73955533.

It is an arithmetic number, because the mean of its divisors is an integer number (214885353312).

Almost surely, 210480605529408 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 10480605529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033579785472).

10480605529408 is an abundant number, since it is smaller than the sum of its proper divisors (13586554041536).

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

10480605529408 is a wasteful number, since it uses less digits than its factorization.

10480605529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143940 (or 143930 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 10480605529408 in words is "ten trillion, four hundred eighty billion, six hundred five million, five hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 1987 2324 2656 3974 4648 5312 7948 9296 13909 15896 18592 27818 31792 37184 55636 63584 111272 127168 141851 164921 222544 283702 329842 445088 567404 659684 890176 992957 1134808 1154447 1319368 1985914 2269616 2308894 2638736 3971828 4539232 4617788 5277472 7943656 9078464 9235576 10554944 11773633 15887312 18471152 23547266 31774624 36942304 47094532 63549248 73884608 82415431 94189064 164830862 188378128 281857937 329661724 376756256 563715874 659323448 753512512 1127431748 1318646896 1973005559 2254863496 2637293792 3946011118 4509726992 5274587584 7892022236 9019453984 15784044472 18038907968 23394208771 31568088944 46788417542 63136177888 93576835084 126272355776 163759461397 187153670168 327518922794 374307340336 655037845588 748614680672 1310075691176 1497229361344 2620151382352 5240302764704 10480605529408