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402131626321264 = 24715745175062913
BaseRepresentation
bin101101101101111001001000…
…0101111010110010101110000
31221201211102000110020220002121
41123123302100233112111300
5410202011032314240024
63543132415132524024
7150463023401462230
oct13333622057262560
91851742013226077
10402131626321264
1110714a079565874
1239127978020614
131434cb078a7108
1471433bb589cc0
153175576b1c8e4
hex16dbc90bd6570

402131626321264 has 80 divisors (see below), whose sum is σ = 896304433791168. Its totient is φ = 171206460112896.

The previous prime is 402131626321241. The next prime is 402131626321279. The reversal of 402131626321264 is 462123626131204.

It is a self number, because there is not a number n which added to its sum of digits gives 402131626321264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76895472 + ... + 81958384.

Almost surely, 2402131626321264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402131626321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448152216895584).

402131626321264 is an abundant number, since it is smaller than the sum of its proper divisors (494172807469904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402131626321264 is a wasteful number, since it uses less digits than its factorization.

402131626321264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067602 (or 5067596 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 402131626321264 in words is "four hundred two trillion, one hundred thirty-one billion, six hundred twenty-six million, three hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 4517 8792 9034 17584 18068 31619 36136 63238 72272 126476 252952 505904 709169 1418338 2836676 4964183 5062913 5673352 9928366 10125826 11346704 19856732 20251652 35440391 39713464 40503304 70880782 79426928 81006608 141761564 283523128 567046256 794877341 1589754682 3179509364 5564141387 6359018728 11128282774 12718037456 22256565548 22869178021 44513131096 45738356042 89026262192 91476712084 160084246147 182953424168 320168492294 365906848336 640336984588 1280673969176 2561347938352 3590460949297 7180921898594 14361843797188 25133226645079 28723687594376 50266453290158 57447375188752 100532906580316 201065813160632 402131626321264