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2136244992 = 28371572531
BaseRepresentation
bin111111101010100…
…1000001100000000
312111212201111012220
41333111020030000
513333334314432
6551551051040
7103636532340
oct17725101400
95455644186
102136244992
119a6944532
124b7510a80
1328076b4bb
14163a02d20
15c782672c
hex7f548300

2136244992 has 144 divisors (see below), whose sum is σ = 6541715712. Its totient is φ = 606228480.

The previous prime is 2136244961. The next prime is 2136244997. The reversal of 2136244992 is 2994426312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2136244997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842767 + ... + 845297.

Almost surely, 22136244992 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 2136244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270857856).

2136244992 is an abundant number, since it is smaller than the sum of its proper divisors (4405470720).

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

2136244992 is a wasteful number, since it uses less digits than its factorization.

2136244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2700 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 2136244992 is about 46219.5304173463. The cubic root of 2136244992 is about 1287.9045748009.

The spelling of 2136244992 in words is "two billion, one hundred thirty-six million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 256 314 336 384 448 471 628 672 768 896 942 1099 1256 1344 1792 1884 2198 2512 2531 2688 3297 3768 4396 5024 5062 5376 6594 7536 7593 8792 10048 10124 13188 15072 15186 17584 17717 20096 20248 26376 30144 30372 35168 35434 40192 40496 52752 53151 60288 60744 70336 70868 80992 105504 106302 120576 121488 140672 141736 161984 211008 212604 242976 281344 283472 323968 397367 422016 425208 485952 566944 647936 794734 844032 850416 971904 1133888 1192101 1589468 1700832 1943808 2267776 2384202 2781569 3178936 3401664 4535552 4768404 5563138 6357872 6803328 8344707 9536808 11126276 12715744 13606656 16689414 19073616 22252552 25431488 33378828 38147232 44505104 50862976 66757656 76294464 89010208 101725952 133515312 152588928 178020416 267030624 305177856 356040832 534061248 712081664 1068122496 2136244992