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8327121444 = 22321974872411
BaseRepresentation
bin1111100000101010…
…11100101000100100
3210111022221121011100
413300111130220210
5114023220341234
63454143040100
7413232235665
oct76025345044
923438847140
108327121444
113593496654
1217448a0030
13a292488c5
1458dcdb36c
1533b0b5399
hex1f055ca24

8327121444 has 72 divisors (see below), whose sum is σ = 21208195008. Its totient is φ = 2754803520.

The previous prime is 8327121433. The next prime is 8327121463. The reversal of 8327121444 is 4441217238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8327121399 and 8327121408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3452599 + ... + 3455009.

It is an arithmetic number, because the mean of its divisors is an integer number (294558264).

Almost surely, 28327121444 is an apocalyptic number.

It is an amenable number.

8327121444 is an abundant number, since it is smaller than the sum of its proper divisors (12881073564).

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

8327121444 is a wasteful number, since it uses less digits than its factorization.

8327121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8327121444 is about 91253.0626554528. The cubic root of 8327121444 is about 2026.8967804247.

The spelling of 8327121444 in words is "eight billion, three hundred twenty-seven million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 487 591 788 974 1182 1461 1773 1948 2364 2411 2922 3546 4383 4822 5844 7092 7233 8766 9644 14466 17532 21699 28932 43398 86796 95939 191878 287817 383756 474967 575634 863451 949934 1151268 1174157 1424901 1726902 1899868 2348314 2849802 3453804 3522471 4274703 4696628 5699604 7044942 8549406 10567413 14089884 17098812 21134826 42269652 231308929 462617858 693926787 925235716 1387853574 2081780361 2775707148 4163560722 8327121444