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2158804992 = 2143167263
BaseRepresentation
bin1000000010101100…
…1100000000000000
312120110011122201110
42000223030000000
513410123224432
6554114403320
7104332353051
oct20053140000
95513148643
102158804992
11a08653163
12502b90540
13285339c06
141669d6728
15c97d0dcc
hex80acc000

2158804992 has 120 divisors (see below), whose sum is σ = 5813127936. Its totient is φ = 712572928.

The previous prime is 2158804951. The next prime is 2158805009. The reversal of 2158804992 is 2994088512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8208253 + ... + 8208515.

Almost surely, 22158804992 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 2158804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906563968).

2158804992 is an abundant number, since it is smaller than the sum of its proper divisors (3654322944).

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

2158804992 is an equidigital number, since it uses as much as digits as its factorization.

2158804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 2158804992 is about 46462.9421367179. The cubic root of 2158804992 is about 1292.4223842391.

The spelling of 2158804992 in words is "two billion, one hundred fifty-eight million, eight hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 263 334 384 501 512 526 668 768 789 1002 1024 1052 1336 1536 1578 2004 2048 2104 2672 3072 3156 4008 4096 4208 5344 6144 6312 8016 8192 8416 10688 12288 12624 16032 16384 16832 21376 24576 25248 32064 33664 42752 43921 49152 50496 64128 67328 85504 87842 100992 128256 131763 134656 171008 175684 201984 256512 263526 269312 342016 351368 403968 513024 527052 538624 684032 702736 807936 1026048 1054104 1077248 1368064 1405472 1615872 2052096 2108208 2154496 2736128 2810944 3231744 4104192 4216416 4308992 5621888 6463488 8208384 8432832 11243776 12926976 16865664 22487552 33731328 44975104 67462656 89950208 134925312 179900416 269850624 359800832 539701248 719601664 1079402496 2158804992