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207459400709401 = 232127249312
BaseRepresentation
bin101111001010111011100111…
…111000100111010100011001
31000012112220222100002002112121
4233022323213320213110121
5204143003323040200101
62013121311042341241
761461306230220601
oct5712734770472431
91005486870062477
10207459400709401
1160115046277165
121b32703165a821
138b9b450774ca9
143933135071c01
1518eb765eac0a1
hexbcaee7e27519

207459400709401 has 27 divisors (see below), whose sum is σ = 218636982752853. Its totient is φ = 196836985227960.

The previous prime is 207459400709399. The next prime is 207459400709411. The reversal of 207459400709401 is 104907004954702.

It is a happy number.

The square root of 207459400709401 is 14403451.

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

It is not a de Polignac number, because 207459400709401 - 21 = 207459400709399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207459400709411) 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, 42072477906 + ... + 42072482836.

Almost surely, 2207459400709401 is an apocalyptic number.

207459400709401 is the 14403451-st square number.

207459400709401 is the 7201726-th centered octagonal number.

It is an amenable number.

207459400709401 is a deficient number, since it is larger than the sum of its proper divisors (11177582043452).

207459400709401 is an frugal number, since it uses more digits than its factorization.

207459400709401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 207459400709401 in words is "two hundred seven trillion, four hundred fifty-nine billion, four hundred million, seven hundred nine thousand, four hundred one".

Divisors: 1 23 127 529 2921 4931 16129 67183 113413 370967 626237 2608499 8532241 14403451 24314761 79532099 331279373 559239503 1829238277 3087974647 12862508569 42072480371 71023416881 392172780169 1633538588263 9019973943887 207459400709401