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21165521050432 = 2611194313671347
BaseRepresentation
bin1001100111111111110110…
…10111010001101101000000
32202221101220112221111112001
410303333323113101231000
510233233441342103212
6113003150043113344
74313105225341033
oct463777327215500
982841815844461
1021165521050432
116820279937a90
12245a02a212854
13ba6b915c0425
145325b955101a
1526a86cb16657
hex133ffb5d1b40

21165521050432 has 112 divisors (see below), whose sum is σ = 48341960801280. Its totient is φ = 9093189772800.

The previous prime is 21165521050351. The next prime is 21165521050441. The reversal of 21165521050432 is 23405012556112.

It is a super-2 number, since 2×211655210504322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21165521050391 and 21165521050400.

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, 3929383 + ... + 7600729.

Almost surely, 221165521050432 is an apocalyptic number.

21165521050432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21165521050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170980400640).

21165521050432 is an abundant number, since it is smaller than the sum of its proper divisors (27176439750848).

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

21165521050432 is a wasteful number, since it uses less digits than its factorization.

21165521050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671820 (or 3671810 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 21165521050432 in words is "twenty-one trillion, one hundred sixty-five billion, five hundred twenty-one million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 431 608 704 836 862 1216 1672 1724 3344 3448 4741 6688 6896 8189 9482 13376 13792 16378 18964 27584 32756 37928 65512 75856 90079 131024 151712 180158 262048 303424 360316 524096 720632 1441264 2882528 3671347 5765056 7342694 14685388 29370776 40384817 58741552 69755593 80769634 117483104 139511186 161539268 234966208 279022372 323078536 558044744 646157072 767311523 1116089488 1292314144 1534623046 1582350557 2232178976 2584628288 3069246092 3164701114 4464357952 6138492184 6329402228 12276984368 12658804456 17405856127 24553968736 25317608912 30064660583 34811712254 49107937472 50635217824 60129321166 69623424508 101270435648 120258642332 139246849016 240517284664 278493698032 330711266413 481034569328 556987396064 661422532826 962069138656 1113974792128 1322845065652 1924138277312 2645690131304 5291380262608 10582760525216 21165521050432