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323506376156089 = 7459326192
BaseRepresentation
bin100100110001110100011001…
…0101000100010001110111001
31120102102220111120202101000201
41021203220302220202032321
5314400312024243443324
63104012435540202201
7125066364403210000
oct11143506250421671
91512386446671021
10323506376156089
1194096313601115
1230349852999361
1310b6869c345929
1459c5b13937c37
152760223708444
hex1263a32a223b9

323506376156089 has 45 divisors (see below), whose sum is σ = 378650862363183. Its totient is φ = 276376361236416.

The previous prime is 323506376155973. The next prime is 323506376156143. The reversal of 323506376156089 is 980651673605323.

The square root of 323506376156089 is 17986283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 198920418327225 + 124585957828864 = 14103915^2 + 11161808^2 .

It is a de Polignac number, because none of the positive numbers 2k-323506376156089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 323506376156089.

It is not an unprimeable number, because it can be changed into a prime (323506376156989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 522627424822 + ... + 522627425440.

Almost surely, 2323506376156089 is an apocalyptic number.

323506376156089 is the 17986283-rd square number.

323506376156089 is the 8993142-nd centered octagonal number.

It is an amenable number.

323506376156089 is a deficient number, since it is larger than the sum of its proper divisors (55144486207094).

323506376156089 is an frugal number, since it uses more digits than its factorization.

323506376156089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 64.

The spelling of 323506376156089 in words is "three hundred twenty-three trillion, five hundred six billion, three hundred seventy-six million, one hundred fifty-six thousand, eighty-nine".

Divisors: 1 7 49 343 593 619 2401 4151 4333 29057 30331 203399 212317 351649 367067 383161 1423793 1486219 2461543 2569469 2682127 17230801 17986283 18774889 120615607 125903981 131424223 217670731 227214473 844309249 881327867 919969561 1523695117 1590501311 10665865819 11133509177 74661060733 77934564239 134738182489 522627425131 545541949673 943167277423 6602170941961 46215196593727 323506376156089