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2153214004005 = 33547647524507
BaseRepresentation
bin11111010101010101100…
…011100100101100100101
321121211211012000200111000
4133111111203210230211
5240234240241112010
64325101200503513
7311364436023261
oct37252543445445
97554735020430
102153214004005
1176019a197799
122a938301ab99
1312807c94653c
14763050330a1
153b023d247c0
hex1f5558e4b25

2153214004005 has 64 divisors (see below), whose sum is σ = 3915431239680. Its totient is φ = 1122207861312.

The previous prime is 2153214003973. The next prime is 2153214004033. The reversal of 2153214004005 is 5004004123512.

2153214004005 is a `hidden beast` number, since 215 + 3 + 2 + 1 + 40 + 0 + 400 + 5 = 666.

It is not a de Polignac number, because 2153214004005 - 25 = 2153214003973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2153214004005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3842962 + ... + 4367468.

It is an arithmetic number, because the mean of its divisors is an integer number (61178613120).

Almost surely, 22153214004005 is an apocalyptic number.

It is an amenable number.

2153214004005 is a deficient number, since it is larger than the sum of its proper divisors (1762217235675).

2153214004005 is a wasteful number, since it uses less digits than its factorization.

2153214004005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525215 (or 525209 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2153214004005 its reverse (5004004123512), we get a palindrome (7157218127517).

The spelling of 2153214004005 in words is "two trillion, one hundred fifty-three billion, two hundred fourteen million, four thousand, five".

Divisors: 1 3 5 9 15 27 45 47 135 141 235 423 647 705 1269 1941 2115 3235 5823 6345 9705 17469 29115 30409 87345 91227 152045 273681 456135 524507 821043 1368405 1573521 2622535 4105215 4720563 7867605 14161689 23602815 24651829 70808445 73955487 123259145 221866461 339356029 369777435 665599383 1018068087 1109332305 1696780145 3054204261 3327996915 5090340435 9162612783 15271021305 15949733363 45813063915 47849200089 79748666815 143547600267 239246000445 430642800801 717738001335 2153214004005