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4125895704 = 233472274007
BaseRepresentation
bin1111010111101100…
…0010110000011000
3101122112121012220000
43311323002300120
531422212130304
61521224133000
7204146351310
oct36573026030
911575535800
104125895704
111827a62567
12971907160
13509a31008
142b1d66440
15192342939
hexf5ec2c18

4125895704 has 160 divisors (see below), whose sum is σ = 13268724480. Its totient is φ = 1173341376.

The previous prime is 4125895693. The next prime is 4125895727. The reversal of 4125895704 is 4075985214.

4125895704 is a `hidden beast` number, since 4 + 12 + 589 + 57 + 0 + 4 = 666.

4125895704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4125895704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1027669 + ... + 1031675.

It is an arithmetic number, because the mean of its divisors is an integer number (82929528).

Almost surely, 24125895704 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 4125895704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634362240).

4125895704 is an abundant number, since it is smaller than the sum of its proper divisors (9142828776).

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

4125895704 is a wasteful number, since it uses less digits than its factorization.

4125895704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4125895704 is about 64233.1355610171. The cubic root of 4125895704 is about 1603.8832374588.

The spelling of 4125895704 in words is "four billion, one hundred twenty-five million, eight hundred ninety-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 227 252 324 378 454 504 567 648 681 756 908 1134 1362 1512 1589 1816 2043 2268 2724 3178 4007 4086 4536 4767 5448 6129 6356 8014 8172 9534 12021 12258 12712 14301 16028 16344 18387 19068 24042 24516 28049 28602 32056 36063 36774 38136 42903 48084 49032 56098 57204 72126 73548 84147 85806 96168 108189 112196 114408 128709 144252 147096 168294 171612 216378 224392 252441 257418 288504 324567 336588 343224 432756 504882 514836 649134 673176 757323 865512 909589 1009764 1029672 1298268 1514646 1819178 2019528 2271969 2596536 2728767 3029292 3638356 4543938 5457534 6058584 6367123 7276712 8186301 9087876 10915068 12734246 16372602 18175752 19101369 21830136 24558903 25468492 32745204 38202738 49117806 50936984 57304107 65490408 73676709 76405476 98235612 114608214 147353418 152810952 171912321 196471224 229216428 294706836 343824642 458432856 515736963 589413672 687649284 1031473926 1375298568 2062947852 4125895704