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402048569329 = 1125929772
BaseRepresentation
bin1011101100110111111…
…01100100111111110001
31102102202110022110210221
411312123331210333301
523041343413204304
6504410520053041
741022065311231
oct5663375447761
91372673273727
10402048569329
11145564a32900
1265b05304181
132bbb3b8c844
14156602a1cc1
15a6d16a2054
hex5d9bf64ff1

402048569329 has 27 divisors (see below), whose sum is σ = 449998888171. Its totient is φ = 358936043840.

The previous prime is 402048569311. The next prime is 402048569383. The reversal of 402048569329 is 923965840204.

The square root of 402048569329 is 634073.

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., 376143023025 + 25905546304 = 613305^2 + 160952^2 .

It is a de Polignac number, because none of the positive numbers 2k-402048569329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402048569309) 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, 411512889 + ... + 411513865.

Almost surely, 2402048569329 is an apocalyptic number.

402048569329 is the 634073-rd square number.

402048569329 is the 317037-th centered octagonal number.

It is an amenable number.

402048569329 is a deficient number, since it is larger than the sum of its proper divisors (47950318842).

402048569329 is an frugal number, since it uses more digits than its factorization.

402048569329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 402048569329 in words is "four hundred two billion, forty-eight million, five hundred sixty-nine thousand, three hundred twenty-nine".

Divisors: 1 11 59 121 649 977 3481 7139 10747 38291 57643 118217 421201 634073 954529 3400937 6974803 10499819 37410307 56317211 115498009 411513377 619489321 3322715449 6814382531 36549869939 402048569329