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402969770401 = 112577092
BaseRepresentation
bin1011101110100101101…
…11101011100110100001
31102112010122201100010011
411313102313223212201
523100240230123101
6505042144404521
741053652350522
oct5672267534641
91375118640104
10402969770401
11145997a25900
1266121916741
132bccc99a233
141570a77a849
15a7374ba751
hex5dd2deb9a1

402969770401 has 9 divisors (see below), whose sum is σ = 442941390003. Its totient is φ = 366329806920.

The previous prime is 402969770383. The next prime is 402969770429. The reversal of 402969770401 is 104077969204.

The square root of 402969770401 is 634799.

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., 25408678801 + 377561091600 = 159401^2 + 614460^2 .

It is not a de Polignac number, because 402969770401 - 215 = 402969737633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402969774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6953935 + ... + 7011643.

Almost surely, 2402969770401 is an apocalyptic number.

402969770401 is the 634799-th square number.

402969770401 is the 317400-th centered octagonal number.

It is an amenable number.

402969770401 is a deficient number, since it is larger than the sum of its proper divisors (39971619602).

402969770401 is an frugal number, since it uses more digits than its factorization.

402969770401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115440 (or 57720 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 402969770401 by its sum of digits (49), we get a square (19745518749649 = 44435932).

The spelling of 402969770401 in words is "four hundred two billion, nine hundred sixty-nine million, seven hundred seventy thousand, four hundred one".

Divisors: 1 11 121 57709 634799 6982789 3330328681 36633615491 402969770401