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2145345534504 = 23321392003107021
BaseRepresentation
bin11111001110000000100…
…011101111101000101000
321121002111211010000111200
4133032000203233220220
5240122131424101004
64321320320124200
7310665443110044
oct37160043575050
97532454100450
102145345534504
11757921697137
122a7947a66660
131273c7736723
1475b9a007024
153ac1315b239
hex1f3808efa28

2145345534504 has 96 divisors (see below), whose sum is σ = 5855088002400. Its totient is φ = 709609380480.

The previous prime is 2145345534457. The next prime is 2145345534517. The reversal of 2145345534504 is 4054355435412.

2145345534504 is a `hidden beast` number, since 2 + 1 + 4 + 53 + 4 + 553 + 45 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2145345534504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19992514 + ... + 20099534.

It is an arithmetic number, because the mean of its divisors is an integer number (60990500025).

Almost surely, 22145345534504 is an apocalyptic number.

2145345534504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145345534504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927544001200).

2145345534504 is an abundant number, since it is smaller than the sum of its proper divisors (3709742467896).

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

2145345534504 is a wasteful number, since it uses less digits than its factorization.

2145345534504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109175 (or 109168 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 2145345534504 in words is "two trillion, one hundred forty-five billion, three hundred forty-five million, five hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2003 2502 3336 4006 5004 6009 8012 10008 12018 16024 18027 24036 36054 48072 72108 107021 144216 214042 278417 321063 428084 556834 642126 835251 856168 963189 1113668 1284252 1670502 1926378 2227336 2505753 2568504 3341004 3852756 5011506 6682008 7705512 10023012 14875919 20046024 29751838 44627757 59503676 89255514 119007352 133883271 178511028 214363063 267766542 357022056 428726126 535533084 643089189 857452252 1071066168 1286178378 1714904504 1929267567 2572356756 3858535134 5144713512 7717070268 15434140536 29796465757 59592931514 89389397271 119185863028 178778794542 238371726056 268168191813 357557589084 536336383626 715115178168 1072672767252 2145345534504