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2124083784192 = 29313116763211
BaseRepresentation
bin11110111010001101010…
…000100110101000000000
321112001122001101012012220
4132322031100212220000
5234300110422043232
64303442435051040
7306313530160566
oct36721520465000
97461561335186
102124083784192
11749900a15467
122a37b3440a80
131253b9826a96
1474b40319a36
153a3bb75842c
hex1ee8d426a00

2124083784192 has 160 divisors (see below), whose sum is σ = 5736121864704. Its totient is φ = 698404761600.

The previous prime is 2124083784023. The next prime is 2124083784197. The reversal of 2124083784192 is 2914873804212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2124083784197) 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 15 ways as a sum of consecutive naturals, for example, 33571467 + ... + 33634677.

Almost surely, 22124083784192 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 2124083784192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868060932352).

2124083784192 is an abundant number, since it is smaller than the sum of its proper divisors (3612038080512).

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

2124083784192 is a wasteful number, since it uses less digits than its factorization.

2124083784192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63530 (or 63514 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 2124083784192 in words is "two trillion, one hundred twenty-four billion, eighty-three million, seven hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 167 192 256 262 334 384 393 501 512 524 668 768 786 1002 1048 1336 1536 1572 2004 2096 2672 3144 4008 4192 5344 6288 8016 8384 10688 12576 16032 16768 21376 21877 25152 32064 33536 42752 43754 50304 63211 64128 65631 67072 85504 87508 100608 126422 128256 131262 175016 189633 201216 252844 256512 262524 350032 379266 505688 525048 700064 758532 1011376 1050096 1400128 1517064 2022752 2100192 2800256 3034128 4045504 4200384 5600512 6068256 8091008 8280641 8400768 10556237 11201024 12136512 16182016 16561282 16801536 21112474 24273024 24841923 31668711 32364032 33122564 33603072 42224948 48546048 49683846 63337422 66245128 84449896 97092096 99367692 126674844 132490256 168899792 198735384 253349688 264980512 337799584 397470768 506699376 529961024 675599168 794941536 1013398752 1059922048 1351198336 1382867047 1589883072 2026797504 2119844096 2702396672 2765734094 3179766144 4053595008 4148601141 4239688192 5404793344 5531468188 6359532288 8107190016 8297202282 11062936376 12719064576 16214380032 16594404564 22125872752 33188809128 44251745504 66377618256 88503491008 132755236512 177006982016 265510473024 354013964032 531020946048 708027928064 1062041892096 2124083784192