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15530393641 = 721929372
BaseRepresentation
bin11100111011010111…
…10000000000101001
31111002100011201222111
432131223300000221
5223301240044031
611045022122321
71056600111400
oct163553600051
944070151874
1015530393641
11664a558674
1230151203a1
1316066b3349
14a7484c637
1560d6831b1
hex39daf0029

15530393641 has 27 divisors (see below), whose sum is σ = 19087223319. Its totient is φ = 12597687648.

The previous prime is 15530393591. The next prime is 15530393651. The reversal of 15530393641 is 14639303551.

The square root of 15530393641 is 124621.

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., 817674025 + 14712719616 = 28595^2 + 121296^2 .

It is not a de Polignac number, because 15530393641 - 27 = 15530393513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15530393594 and 15530393603.

It is not an unprimeable number, because it can be changed into a prime (15530393651) 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, 16574125 + ... + 16575061.

It is an arithmetic number, because the mean of its divisors is an integer number (706934197).

Almost surely, 215530393641 is an apocalyptic number.

15530393641 is the 124621-st square number.

15530393641 is the 62311-st centered octagonal number.

It is an amenable number.

15530393641 is a deficient number, since it is larger than the sum of its proper divisors (3556829678).

15530393641 is an frugal number, since it uses more digits than its factorization.

15530393641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 15530393641 in words is "fifteen billion, five hundred thirty million, three hundred ninety-three thousand, six hundred forty-one".

Divisors: 1 7 19 49 133 361 931 937 2527 6559 17689 17803 45913 124621 338257 872347 877969 2367799 6145783 16574593 16681411 43020481 116769877 316946809 817389139 2218627663 15530393641