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69145857936 = 243217212892
BaseRepresentation
bin100000001100101101…
…0100000111110010000
320121110220010112020100
41000121122200332100
52113102314423221
651433135412400
74665333044361
oct1003132407620
9217426115210
1069145857936
1127363041541
1211498984100
13669c4b8c4c
1434bd3d5b68
151bea641926
hex10196a0f90

69145857936 has 135 divisors (see below), whose sum is σ = 205724639731. Its totient is φ = 21675988992.

The previous prime is 69145857829. The next prime is 69145857971. The reversal of 69145857936 is 63975854196.

The square root of 69145857936 is 262956.

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

69145857936 is a `hidden beast` number, since 6 + 9 + 1 + 4 + 58 + 579 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24093248400 + 45052609536 = 155220^2 + 212256^2 .

It is a super-2 number, since 2×691458579362 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53642380 + ... + 53643668.

Almost surely, 269145857936 is an apocalyptic number.

69145857936 is the 262956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69145857936

69145857936 is an abundant number, since it is smaller than the sum of its proper divisors (136578781795).

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

69145857936 is a wasteful number, since it uses less digits than its factorization.

69145857936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1311 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 69145857936 in words is "sixty-nine billion, one hundred forty-five million, eight hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1289 1734 2312 2448 2578 2601 3468 3867 4624 5156 5202 6936 7734 10312 10404 11601 13872 15468 20624 20808 21913 23202 30936 41616 43826 46404 61872 65739 87652 92808 131478 175304 185616 197217 262956 350608 372521 394434 525912 745042 788868 1051824 1117563 1490084 1577736 1661521 2235126 2980168 3155472 3323042 3352689 4470252 4984563 5960336 6646084 6705378 8940504 9969126 13292168 13410756 14953689 17881008 19938252 26584336 26821512 28245857 29907378 39876504 53643024 56491714 59814756 79753008 84737571 112983428 119629512 169475142 225966856 239259024 254212713 338950284 451933712 480179569 508425426 677900568 960359138 1016850852 1355801136 1440538707 1920718276 2033701704 2881077414 3841436552 4067403408 4321616121 5762154828 7682873104 8643232242 11524309656 17286464484 23048619312 34572928968 69145857936