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5000832954656 = 257114019504991
BaseRepresentation
bin100100011000101100011…
…0111110011000100100000
3122201002000122110121101122
41020301120313303010200
51123413201214022111
614345203445351412
71024204205521310
oct110613067630440
918632018417348
105000832954656
111658928916740
12689240a08568
132a3765814c46
1413408224d440
158a13a907cdb
hex48c58df3120

5000832954656 has 96 divisors (see below), whose sum is σ = 12277850296320. Its totient is φ = 1947887827200.

The previous prime is 5000832954653. The next prime is 5000832954707. The reversal of 5000832954656 is 6564592380005.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5000832954598 and 5000832954607.

It is not an unprimeable number, because it can be changed into a prime (5000832954653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9650321 + ... + 10155311.

It is an arithmetic number, because the mean of its divisors is an integer number (127894273920).

Almost surely, 25000832954656 is an apocalyptic number.

5000832954656 is a gapful number since it is divisible by the number (56) 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 5000832954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138925148160).

5000832954656 is an abundant number, since it is smaller than the sum of its proper divisors (7277017341664).

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

5000832954656 is a wasteful number, since it uses less digits than its factorization.

5000832954656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509038 (or 509030 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 5000832954656 in words is "five trillion, eight hundred thirty-two million, nine hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4019 8038 16076 28133 32152 44209 56266 64304 88418 112532 128608 176836 225064 309463 353672 450128 504991 618926 707344 900256 1009982 1237852 1414688 2019964 2475704 3534937 4039928 4951408 5554901 7069874 8079856 9902816 11109802 14139748 16159712 22219604 28279496 38884307 44439208 56558992 77768614 88878416 113117984 155537228 177756832 311074456 622148912 1244297824 2029558829 4059117658 8118235316 14206911803 16236470632 22325147119 28413823606 32472941264 44650294238 56827647212 64945882528 89300588476 113655294424 156276029833 178601176952 227310588848 312552059666 357202353904 454621177696 625104119332 714404707808 1250208238664 2500416477328 5000832954656