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316106653180 = 22529243343403
BaseRepresentation
bin1001001100110010110…
…11001011110111111100
31010012221000102210012111
410212121123023313330
520134341300400210
6401114542343404
731560263135023
oct4463133136774
91105830383174
10316106653180
11112072a6821a
125131b58ab64
1323a68a17a16
141142a3178ba
15835172088a
hex49996cbdfc

316106653180 has 72 divisors (see below), whose sum is σ = 689107425552. Its totient is φ = 121797817344.

The previous prime is 316106653127. The next prime is 316106653189. The reversal of 316106653180 is 81356601613.

It is a super-3 number, since 3×3161066531803 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316106653189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7261359 + ... + 7304761.

It is an arithmetic number, because the mean of its divisors is an integer number (9570936466).

Almost surely, 2316106653180 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 316106653180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344553712776).

316106653180 is an abundant number, since it is smaller than the sum of its proper divisors (373000772372).

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

316106653180 is a wasteful number, since it uses less digits than its factorization.

316106653180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43903 (or 43872 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 316106653180 in words is "three hundred sixteen billion, one hundred six million, six hundred fifty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 433 580 841 866 1682 1732 2165 3364 4205 4330 8410 8660 12557 16820 25114 43403 50228 62785 86806 125570 173612 217015 251140 364153 434030 728306 868060 1258687 1456612 1820765 2517374 3641530 5034748 6293435 7283060 12586870 18793499 25173740 36501923 37586998 73003846 75173996 93967495 146007692 182509615 187934990 365019230 375869980 545011471 730038460 1090022942 2180045884 2725057355 5450114710 10900229420 15805332659 31610665318 63221330636 79026663295 158053326590 316106653180