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1214707161672 = 233823142569
BaseRepresentation
bin10001101011010010001…
…100000101101001001000
311022010101000211100000000
4101223102030011221020
5124400210013133142
62330010114043000
7153521401341264
oct21532214055110
94263330740000
101214707161672
11429177586364
12177502b79460
138a714572934
1442b138c10a4
15218e5e5814c
hex11ad2305a48

1214707161672 has 72 divisors (see below), whose sum is σ = 3416190470550. Its totient is φ = 404902369728.

The previous prime is 1214707161623. The next prime is 1214707161719. The reversal of 1214707161672 is 2761617074121.

1214707161672 is a `hidden beast` number, since 1 + 2 + 1 + 470 + 7 + 16 + 167 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 705005405316 + 509701756356 = 839646^2 + 713934^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11518797 + ... + 11623772.

Almost surely, 21214707161672 is an apocalyptic number.

1214707161672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1214707161672 is an abundant number, since it is smaller than the sum of its proper divisors (2201483308878).

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

1214707161672 is an frugal number, since it uses more digits than its factorization.

1214707161672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23142599 (or 23142574 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1214707161672 in words is "one trillion, two hundred fourteen billion, seven hundred seven million, one hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 23142569 46285138 69427707 92570276 138855414 185140552 208283121 277710828 416566242 555421656 624849363 833132484 1249698726 1666264968 1874548089 2499397452 3749096178 4998794904 5623644267 7498192356 11247288534 14996384712 16870932801 22494577068 33741865602 44989154136 50612798403 67483731204 101225596806 134967462408 151838395209 202451193612 303676790418 404902387224 607353580836 1214707161672