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70897797726889 = 7217217324092
BaseRepresentation
bin10000000111101100101110…
…000011001000001010101001
3100022000202121102102210021011
4100013230232003020022221
533243042142204230024
6410441555412343521
720635124343266200
oct2007545603101251
9308022542383234
1070897797726889
11206546505735a1
127b50575014ba1
133073831146913
14137168657c237
1582e333a07094
hex407b2e0c82a9

70897797726889 has 81 divisors (see below), whose sum is σ = 88334990025327. Its totient is φ = 56725223482368.

The previous prime is 70897797726887. The next prime is 70897797726979. The reversal of 70897797726889 is 98862779779807.

The square root of 70897797726889 is 8420083.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14988380619289 + 55909417107600 = 3871483^2 + 7477260^2 .

It is not a de Polignac number, because 70897797726889 - 21 = 70897797726887 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 70897797726797 and 70897797726806.

It is not an unprimeable number, because it can be changed into a prime (70897797726887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173344248517 + ... + 173344248925.

Almost surely, 270897797726889 is an apocalyptic number.

70897797726889 is the 8420083-rd square number.

70897797726889 is the 4210042-nd centered octagonal number.

It is an amenable number.

70897797726889 is a deficient number, since it is larger than the sum of its proper divisors (17437192298438).

70897797726889 is an frugal number, since it uses more digits than its factorization.

70897797726889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 75278149632, while the sum is 94.

The spelling of 70897797726889 in words is "seventy trillion, eight hundred ninety-seven billion, seven hundred ninety-seven million, seven hundred twenty-six thousand, eight hundred eighty-nine".

Divisors: 1 7 17 49 119 173 289 409 833 1211 2023 2863 2941 6953 8477 14161 20041 20587 29929 48671 49997 70757 118201 144109 167281 209503 340697 349979 495299 508793 827407 1170967 1202869 1466521 2449853 2843777 3467093 3561551 5791849 8196769 8420083 8649481 12240961 19906439 20448773 24930857 28939613 48344209 58940581 60546367 85686727 139345073 143141411 202577291 208096337 338409463 423824569 491973421 599807089 1001989877 1418041037 1456674359 2368866241 3443813947 3537637729 5006553049 8363548157 10196720513 24106697629 24763464103 35045871343 58544837099 85111401833 173344248721 245321099401 409813859693 595779812831 1446893831161 4170458689817 10128256818127 70897797726889