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153540112104 = 233223197470647
BaseRepresentation
bin1000111011111110110…
…1000010111011101000
3112200022110210211201200
42032333231002323220
510003422232041404
6154311345244200
714043603263541
oct2167755027350
9480273724650
10153540112104
115a130432835
1225910333660
131162bb21652
1476079d14c8
153ed97b1839
hex23bfb42ee8

153540112104 has 96 divisors (see below), whose sum is σ = 436121262720. Its totient is φ = 48706213248.

The previous prime is 153540112069. The next prime is 153540112109. The reversal of 153540112104 is 401211045351.

153540112104 is a `hidden beast` number, since 1 + 5 + 3 + 540 + 1 + 12 + 104 = 666.

153540112104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (153540112109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90909 + ... + 561555.

It is an arithmetic number, because the mean of its divisors is an integer number (4542929820).

Almost surely, 2153540112104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153540112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218060631360).

153540112104 is an abundant number, since it is smaller than the sum of its proper divisors (282581150616).

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

153540112104 is a wasteful number, since it uses less digits than its factorization.

153540112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470879 (or 470872 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 153540112104 its reverse (401211045351), we get a palindrome (554751157455).

The spelling of 153540112104 in words is "one hundred fifty-three billion, five hundred forty million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 197 207 276 394 414 552 591 788 828 1182 1576 1656 1773 2364 3546 4531 4728 7092 9062 13593 14184 18124 27186 36248 40779 54372 81558 108744 163116 326232 470647 941294 1411941 1882588 2823882 3765176 4235823 5647764 8471646 10824881 11295528 16943292 21649762 32474643 33886584 43299524 64949286 86599048 92717459 97423929 129898572 185434918 194847858 259797144 278152377 370869836 389695716 556304754 741739672 779391432 834457131 1112609508 1668914262 2132501557 2225219016 3337828524 4265003114 6397504671 6675657048 8530006228 12795009342 17060012456 19192514013 25590018684 38385028026 51180037368 76770056052 153540112104