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320104115532 = 2232194173156361
BaseRepresentation
bin1001010100001111011…
…00010010110101001100
31010121020121100220122200
410222013230102311030
520221033123144112
6403015342041500
732061323042145
oct4520754226514
91117217326580
10320104115532
11113834478913
1252056279290
1324254c5b366
14116c91aaacc
1584d7643cdc
hex4a87b12d4c

320104115532 has 144 divisors (see below), whose sum is σ = 884471034720. Its totient is φ = 97268428800.

The previous prime is 320104115503. The next prime is 320104115533. The reversal of 320104115532 is 235511401023.

320104115532 is a `hidden beast` number, since 3 + 2 + 0 + 10 + 4 + 115 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320104115496 and 320104115505.

It is not an unprimeable number, because it can be changed into a prime (320104115533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1969032 + ... + 2125392.

Almost surely, 2320104115532 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 320104115532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442235517360).

320104115532 is an abundant number, since it is smaller than the sum of its proper divisors (564366919188).

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

320104115532 is a wasteful number, since it uses less digits than its factorization.

320104115532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156504 (or 156499 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 320104115532 its reverse (235511401023), we get a palindrome (555615516555).

The spelling of 320104115532 in words is "three hundred twenty billion, one hundred four million, one hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 73 76 82 114 123 146 164 171 219 228 246 292 342 369 438 492 657 684 738 779 876 1314 1387 1476 1558 2337 2628 2774 2993 3116 4161 4674 5548 5986 7011 8322 8979 9348 11972 12483 14022 16644 17958 24966 26937 28044 35916 49932 53874 56867 107748 113734 156361 170601 227468 312722 341202 469083 511803 625444 682404 938166 1023606 1407249 1876332 2047212 2814498 2970859 5628996 5941718 6410801 8912577 11414353 11883436 12821602 17825154 19232403 22828706 25643204 26737731 34243059 35650308 38464806 45657412 53475462 57697209 68486118 76929612 102729177 106950924 115394418 121805219 136972236 205458354 216872707 230788836 243610438 365415657 410916708 433745414 467988473 487220876 650618121 730831314 867490828 935976946 1096246971 1301236242 1403965419 1461662628 1871953892 1951854363 2192493942 2602472484 2807930838 3903708726 4211896257 4384987884 5615861676 7807417452 8423792514 8891780987 16847585028 17783561974 26675342961 35567123948 53350685922 80026028883 106701371844 160052057766 320104115532