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2145099987184 = 247112887603101
BaseRepresentation
bin11111001101110001111…
…011000011100011110000
321121001212201001220220111
4133031301323003203300
5240121131044042214
64321240105151104
7310656402021460
oct37156173034360
97531781056814
102145099987184
11757806024870
122a789978b494
131273888c295b
1475b75569ba0
153abeb8065c4
hex1f371ec38f0

2145099987184 has 80 divisors (see below), whose sum is σ = 5183473522176. Its totient is φ = 835462368000.

The previous prime is 2145099987181. The next prime is 2145099987257. The reversal of 2145099987184 is 4817899905412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145099987181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255234 + ... + 3858334.

Almost surely, 22145099987184 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 2145099987184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591736761088).

2145099987184 is an abundant number, since it is smaller than the sum of its proper divisors (3038373534992).

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

2145099987184 is a wasteful number, since it uses less digits than its factorization.

2145099987184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606014 (or 606008 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 67.

The spelling of 2145099987184 in words is "two trillion, one hundred forty-five billion, ninety-nine million, nine hundred eighty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2887 5774 11548 20209 23096 31757 40418 46192 63514 80836 127028 161672 222299 254056 323344 444598 508112 603101 889196 1206202 1778392 2412404 3556784 4221707 4824808 6634111 8443414 9649616 13268222 16886828 26536444 33773656 46438777 53072888 67547312 92877554 106145776 185755108 371510216 743020432 1741152587 3482305174 6964610348 12188068109 13929220696 19152678457 24376136218 27858441392 38305356914 48752272436 76610713828 97504544872 134068749199 153221427656 195009089744 268137498398 306442855312 536274996796 1072549993592 2145099987184