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2126400848 = 2411135231777
BaseRepresentation
bin111111010111110…
…0100110101010000
312111012012100120222
41332233210311100
513323324311343
6551000052212
7103460052245
oct17657446520
95435170528
102126400848
119a1330480
124b4164068
1327b702870
1416259d5cc
15c6a2ea68
hex7ebe4d50

2126400848 has 80 divisors (see below), whose sum is σ = 4852147776. Its totient is φ = 889989120.

The previous prime is 2126400839. The next prime is 2126400877. The reversal of 2126400848 is 8480046212.

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, 1195736 + ... + 1197512.

Almost surely, 22126400848 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 2126400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426073888).

2126400848 is an abundant number, since it is smaller than the sum of its proper divisors (2725746928).

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

2126400848 is a wasteful number, since it uses less digits than its factorization.

2126400848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2126400848 is about 46112.9141130768. The cubic root of 2126400848 is about 1285.9232410909.

The spelling of 2126400848 in words is "two billion, one hundred twenty-six million, four hundred thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 523 572 1046 1144 1777 2092 2288 3554 4184 5753 6799 7108 8368 11506 13598 14216 19547 23012 23101 27196 28432 39094 46024 46202 54392 74789 78188 92048 92404 108784 149578 156376 184808 254111 299156 312752 369616 508222 598312 929371 1016444 1196624 1858742 2032888 3717484 4065776 7434968 10223081 12081823 14869936 20446162 24163646 40892324 48327292 81784648 96654584 132900053 163569296 193309168 265800106 531600212 1063200424 2126400848