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209673016416 = 25321742825371
BaseRepresentation
bin1100001101000101111…
…1000101010001100000
3202001012110202211110200
43003101133011101200
511413402243011131
6240153352225200
721101615143023
oct3032137052140
9661173684420
10209673016416
1180a15a51646
123477709b200
1316a06351826
14a210a491ba
1556c27932e6
hex30d17c5460

209673016416 has 72 divisors (see below), whose sum is σ = 631331634024. Its totient is φ = 65779768320.

The previous prime is 209673016409. The next prime is 209673016417. The reversal of 209673016416 is 614610376902.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209673016417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21407790 + ... + 21417581.

It is an arithmetic number, because the mean of its divisors is an integer number (8768494917).

Almost surely, 2209673016416 is an apocalyptic number.

It is an amenable number.

209673016416 is an abundant number, since it is smaller than the sum of its proper divisors (421658617608).

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

209673016416 is a wasteful number, since it uses less digits than its factorization.

209673016416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42825404 (or 42825393 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 209673016416 in words is "two hundred nine billion, six hundred seventy-three million, sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 42825371 85650742 128476113 171301484 256952226 342602968 385428339 513904452 685205936 728031307 770856678 1027808904 1370411872 1456062614 1541713356 2055617808 2184093921 2912125228 3083426712 4111235616 4368187842 5824250456 6166853424 6552281763 8736375684 11648500912 12333706848 13104563526 17472751368 23297001824 26209127052 34945502736 52418254104 69891005472 104836508208 209673016416