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2154120214512 = 243721532977739
BaseRepresentation
bin11111010110001011100…
…100011111011111110000
321121221011100012221121010
4133112023210133133300
5240243114233331022
64325331132030520
7311426051466360
oct37261344373760
97557140187533
102154120214512
117606147810a2
122a9596602440
13128195605986
147638d5289a0
153b07867b50c
hex1f58b91f7f0

2154120214512 has 80 divisors (see below), whose sum is σ = 6362739544320. Its totient is φ = 615176848896.

The previous prime is 2154120214487. The next prime is 2154120214531.

2154120214512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2154120214512.

It is a congruent number.

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, 765462 + ... + 2212277.

It is an arithmetic number, because the mean of its divisors is an integer number (79534244304).

Almost surely, 22154120214512 is an apocalyptic number.

It is an amenable number.

2154120214512 is an abundant number, since it is smaller than the sum of its proper divisors (4208619329808).

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

2154120214512 is a wasteful number, since it uses less digits than its factorization.

2154120214512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979910 (or 2979904 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 2154120 and 214512, that added together give a palindrome (2368632).

The spelling of 2154120214512 in words is "two trillion, one hundred fifty-four billion, one hundred twenty million, two hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2153 4306 6459 8612 12918 15071 17224 25836 30142 34448 45213 51672 60284 90426 103344 120568 180852 241136 361704 723408 2977739 5955478 8933217 11910956 17866434 20844173 23821912 35732868 41688346 47643824 62532519 71465736 83376692 125065038 142931472 166753384 250130076 333506768 500260152 1000520304 6411072067 12822144134 19233216201 25644288268 38466432402 44877504469 51288576536 76932864804 89755008938 102577153072 134632513407 153865729608 179510017876 269265026814 307731459216 359020035752 538530053628 718040071504 1077060107256 2154120214512