Search a number
-
+
2089255807488 = 2935328191331
BaseRepresentation
bin11110011001110001010…
…110011010101000000000
321101201201211101122212210
4132121301112122220000
5233212243441314423
64235442454422120
7303641464231113
oct36316126325000
97351654348783
102089255807488
11736059489043
12298ab3661940
13122029143345
14731989cc57a
153952dd57b93
hex1e67159aa00

2089255807488 has 160 divisors (see below), whose sum is σ = 5691168724032. Its totient is φ = 680839577600.

The previous prime is 2089255807427. The next prime is 2089255807501. The reversal of 2089255807488 is 8847085529802.

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, 22829983 + ... + 22921313.

Almost surely, 22089255807488 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 2089255807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845584362016).

2089255807488 is an abundant number, since it is smaller than the sum of its proper divisors (3601912916544).

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

2089255807488 is an equidigital number, since it uses as much as digits as its factorization.

2089255807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91686 (or 91670 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 2089255807488 in words is "two trillion, eighty-nine billion, two hundred fifty-five million, eight hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 281 318 384 424 512 562 636 768 843 848 1124 1272 1536 1686 1696 2248 2544 3372 3392 4496 5088 6744 6784 8992 10176 13488 13568 14893 17984 20352 26976 27136 29786 35968 40704 44679 53952 59572 71936 81408 89358 91331 107904 119144 143872 178716 182662 215808 238288 273993 357432 365324 431616 476576 547986 714864 730648 953152 1095972 1429728 1461296 1906304 2191944 2859456 2922592 3812608 4383888 4840543 5718912 5845184 7625216 8767776 9681086 11437824 11690368 14521629 17535552 19362172 22875648 23380736 25664011 29043258 35071104 38724344 46761472 51328022 58086516 70142208 76992033 77448688 102656044 116173032 140284416 153984066 154897376 205312088 232346064 307968132 309794752 410624176 464692128 615936264 619589504 821248352 929384256 1231872528 1239179008 1360192583 1642496704 1858768512 2463745056 2478358016 2720385166 3284993408 3717537024 4080577749 4927490112 5440770332 6569986816 7435074048 8161155498 9854980224 10881540664 13139973632 16322310996 19709960448 21763081328 32644621992 39419920896 43526162656 65289243984 87052325312 130578487968 174104650624 261156975936 348209301248 522313951872 696418602496 1044627903744 2089255807488