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328087238521 = 7247217412
BaseRepresentation
bin1001100011000111000…
…01011111011101111001
31011100211222000120122111
410301203201133131321
520333410313113041
6410415440052321
732463210341200
oct4614341373571
91140758016574
10328087238521
11117160769319
12537039040a1
1324c27b42683
1411c45520237
158803408981
hex4c6385f779

328087238521 has 27 divisors (see below), whose sum is σ = 390169646127. Its totient is φ = 275076189360.

The previous prime is 328087238477. The next prime is 328087238533. The reversal of 328087238521 is 125832780823.

The square root of 328087238521 is 572789.

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., 376786921 + 327710451600 = 19411^2 + 572460^2 .

It is not a de Polignac number, because 328087238521 - 29 = 328087238009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (328087239521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188446711 + ... + 188448451.

Almost surely, 2328087238521 is an apocalyptic number.

328087238521 is the 572789-th square number.

328087238521 is the 286395-th centered octagonal number.

It is an amenable number.

328087238521 is a deficient number, since it is larger than the sum of its proper divisors (62082407606).

328087238521 is an frugal number, since it uses more digits than its factorization.

328087238521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 328087238521 by its sum of digits (49), we get a square (16076274687529 = 40095232).

328087238521 divided by its sum of digits (49) gives a square (6695657929 = 818272).

The spelling of 328087238521 in words is "three hundred twenty-eight billion, eighty-seven million, two hundred thirty-eight thousand, five hundred twenty-one".

Divisors: 1 7 47 49 329 1741 2209 2303 12187 15463 81827 85309 108241 572789 3031081 3845869 4009523 21217567 26921083 142460807 148522969 188447581 997225649 6695657929 6980579543 46869605503 328087238521