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153417270312 = 23322617814213
BaseRepresentation
bin1000111011100001100…
…0011100010000101000
3112122222220122211110200
42032320120130100220
510003144310122222
6154251240312200
714040552165315
oct2167030342050
9478886584420
10153417270312
115a07805a999
1225897172660
131160c5410b7
1475d5575d0c
153ecdae8eac
hex23b861c428

153417270312 has 48 divisors (see below), whose sum is σ = 415664389140. Its totient is φ = 51119486208.

The previous prime is 153417270239. The next prime is 153417270341. The reversal of 153417270312 is 213072714351.

153417270312 is a `hidden beast` number, since 15 + 341 + 7 + 270 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104746733316 + 48670536996 = 323646^2 + 220614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218683 + ... + 595530.

Almost surely, 2153417270312 is an apocalyptic number.

153417270312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153417270312 is an abundant number, since it is smaller than the sum of its proper divisors (262247118828).

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

153417270312 is a wasteful number, since it uses less digits than its factorization.

153417270312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816842 (or 816835 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 153417270312 its reverse (213072714351), we get a palindrome (366489984663).

The spelling of 153417270312 in words is "one hundred fifty-three billion, four hundred seventeen million, two hundred seventy thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2617 5234 7851 10468 15702 20936 23553 31404 47106 62808 94212 188424 814213 1628426 2442639 3256852 4885278 6513704 7327917 9770556 14655834 19541112 29311668 58623336 2130795421 4261590842 6392386263 8523181684 12784772526 17046363368 19177158789 25569545052 38354317578 51139090104 76708635156 153417270312