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52113260147346 = 23410110972903389
BaseRepresentation
bin10111101100101100100000…
…10110111111001010010010
320211111222102200221201220000
423312112100112333022102
523312310424044203341
6302500300132230430
713656026111326326
oct1366262026771222
9224458380851800
1052113260147346
1115672122843a32
125a17a9546b416
13231034aa21ac8
14cc241c241986
156058bb0648b6
hex2f65905bf292

52113260147346 has 80 divisors (see below), whose sum is σ = 118036008117720. Its totient is φ = 17183411539200.

The previous prime is 52113260147341. The next prime is 52113260147359. The reversal of 52113260147346 is 64374106231125.

52113260147346 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 3 + 2 + 601 + 4 + 7 + 34 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48722340459321 + 3390919688025 = 6980139^2 + 1841445^2 .

It is not an unprimeable number, because it can be changed into a prime (52113260147341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16497420 + ... + 19400808.

Almost surely, 252113260147346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52113260147346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018004058860).

52113260147346 is an abundant number, since it is smaller than the sum of its proper divisors (65922747970374).

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

52113260147346 is a wasteful number, since it uses less digits than its factorization.

52113260147346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904601 (or 2904592 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 52113260147346 in words is "fifty-two trillion, one hundred thirteen billion, two hundred sixty million, one hundred forty-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1097 1818 2194 2727 3291 5454 6582 8181 9873 16362 19746 29619 59238 88857 110797 177714 221594 332391 664782 997173 1994346 2903389 2991519 5806778 5983038 8710167 8974557 17420334 17949114 26130501 52261002 78391503 156783006 235174509 293242289 470349018 586484578 879726867 1759453734 2639180601 3185017733 5278361202 6370035466 7917541803 9555053199 15835083606 19110106398 23752625409 28665159597 47505250818 57330319194 85995478791 171990957582 257986436373 321686791033 515972872746 643373582066 965060373099 1930120746198 2895181119297 5790362238594 8685543357891 17371086715782 26056630073673 52113260147346