Search a number
-
+
318916319925 = 352721747910657
BaseRepresentation
bin1001010010000001110…
…01001101101010110101
31010111011211022122101210
410221000321031222311
520211120034214200
6402301431312033
732020020664200
oct4510071155265
91114154278353
10318916319925
11113284a48455
125198451b619
13240c5b4ac18
1411615536937
158468219650
hex4a40e4dab5

318916319925 has 144 divisors (see below), whose sum is σ = 650857628160. Its totient is φ = 136915107840.

The previous prime is 318916319923. The next prime is 318916319927. The reversal of 318916319925 is 529913619813.

It is an interprime number because it is at equal distance from previous prime (318916319923) and next prime (318916319927).

It is not a de Polignac number, because 318916319925 - 21 = 318916319923 is a prime.

It is a super-2 number, since 2×3189163199252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318916319923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29920197 + ... + 29930853.

It is an arithmetic number, because the mean of its divisors is an integer number (4519844640).

Almost surely, 2318916319925 is an apocalyptic number.

318916319925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

318916319925 is an abundant number, since it is smaller than the sum of its proper divisors (331941308235).

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

318916319925 is a wasteful number, since it uses less digits than its factorization.

318916319925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11180 (or 11168 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 57.

The spelling of 318916319925 in words is "three hundred eighteen billion, nine hundred sixteen million, three hundred nineteen thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 479 525 595 735 833 1225 1275 1437 1785 2395 2499 2975 3353 3675 4165 7185 8143 8925 10059 10657 11975 12495 16765 20825 23471 24429 31971 35925 40715 50295 53285 57001 62475 70413 74599 83825 117355 122145 159855 171003 181169 203575 223797 251475 266425 285005 352065 372995 399007 522193 543507 586775 610725 799275 855015 905845 1118985 1197021 1268183 1425025 1566579 1760325 1864975 1995035 2610965 2717535 3804549 4275075 4529225 5104703 5594925 5985105 6340915 7832895 8877281 9975175 13054825 13587675 15314109 19022745 25523515 26631843 29925525 31704575 35732921 39164475 44386405 76570545 86779951 95113725 107198763 127617575 133159215 178664605 221932025 250130447 260339853 382852725 433899755 535993815 607459657 665796075 750391341 893323025 1250652235 1301699265 1822378971 2169498775 2679969075 3037298285 3751956705 4252217599 6253261175 6508496325 9111894855 12756652797 15186491425 18759783525 21261087995 45559474275 63783263985 106305439975 318916319925