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326506031136 = 2534373404509
BaseRepresentation
bin1001100000001010100…
…01101010100000100000
31011012202202200220220000
410300011101222200200
520322141020444021
6405554513220000
732406060321135
oct4600521524040
91135682626800
10326506031136
1111651a16285a
1253342261600
1324a353895bc
1411b3551c58c
15875e6bcb26
hex4c0546a820

326506031136 has 120 divisors (see below), whose sum is σ = 986198029740. Its totient is φ = 105893816832.

The previous prime is 326506031123. The next prime is 326506031179. The reversal of 326506031136 is 631130605623.

326506031136 is a `hidden beast` number, since 3 + 2 + 6 + 5 + 0 + 603 + 11 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219867210000 + 106638821136 = 468900^2 + 326556^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 326506031136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1606351 + ... + 1798158.

Almost surely, 2326506031136 is an apocalyptic number.

326506031136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

326506031136 is an abundant number, since it is smaller than the sum of its proper divisors (659691998604).

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

326506031136 is a wasteful number, since it uses less digits than its factorization.

326506031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404568 (or 3404551 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 326506031136 its reverse (631130605623), we get a palindrome (957636636759).

The spelling of 326506031136 in words is "three hundred twenty-six billion, five hundred six million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 3404509 6809018 10213527 13618036 20427054 27236072 30640581 40854108 54472144 61281162 81708216 91921743 108944288 122562324 125966833 163416432 183843486 245124648 251933666 275765229 326832864 367686972 377900499 490249296 503867332 551530458 735373944 755800998 980498592 1007734664 1103060916 1133701497 1470747888 1511601996 2015469328 2206121832 2267402994 2941495776 3023203992 3401104491 4030938656 4412243664 4534805988 6046407984 6802208982 8824487328 9069611976 10203313473 12092815968 13604417964 18139223952 20406626946 27208835928 36278447904 40813253892 54417671856 81626507784 108835343712 163253015568 326506031136