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9697957668 = 2232737228111
BaseRepresentation
bin10010000100000101…
…10001011100100100
3221000212102021221100
421002002301130210
5124330134121133
64242152520100
7462216165030
oct110202613444
927025367840
109697957668
114127276153
121a679b0030
13bb7255bb9
1467ddbb1c0
153bb5e8e13
hex2420b1724

9697957668 has 108 divisors (see below), whose sum is σ = 28795009152. Its totient is φ = 2695861440.

The previous prime is 9697957651. The next prime is 9697957669. The reversal of 9697957668 is 8667597969.

It is a junction number, because it is equal to n+sod(n) for n = 9697957596 and 9697957605.

It is not an unprimeable number, because it can be changed into a prime (9697957669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330933 + ... + 359043.

Almost surely, 29697957668 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 9697957668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397504576).

9697957668 is an abundant number, since it is smaller than the sum of its proper divisors (19097051484).

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

9697957668 is a wasteful number, since it uses less digits than its factorization.

9697957668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28202 (or 28160 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The square root of 9697957668 is about 98478.2091023187. The cubic root of 9697957668 is about 2132.5215472434.

The spelling of 9697957668 in words is "nine billion, six hundred ninety-seven million, nine hundred fifty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1369 1554 2331 2738 3108 4107 4662 5476 8214 9324 9583 12321 16428 19166 24642 28111 28749 38332 49284 56222 57498 84333 86247 112444 114996 168666 172494 196777 252999 337332 344988 393554 505998 590331 787108 1011996 1040107 1180662 1770993 2080214 2361324 3120321 3541986 4160428 6240642 7083972 7280749 9360963 12481284 14561498 18721926 21842247 29122996 37443852 38483959 43684494 65526741 76967918 87368988 115451877 131053482 153935836 230903754 262106964 269387713 346355631 461807508 538775426 692711262 808163139 1077550852 1385422524 1616326278 2424489417 3232652556 4848978834 9697957668