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9741694068 = 22382316139
BaseRepresentation
bin10010001001010011…
…00111010001110100
3221010220201100000000
421010221213101310
5124422333202233
64250354151300
7463260014301
oct110451472164
927126640000
109741694068
114149a28a37
121a7a582530
13bc332a322
14685b240a8
153c0387d13
hex244a67474

9741694068 has 108 divisors (see below), whose sum is σ = 26684068320. Its totient is φ = 3105854928.

The previous prime is 9741694063. The next prime is 9741694069. The reversal of 9741694068 is 8604961479.

9741694068 is a `hidden beast` number, since 9 + 74 + 169 + 406 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9741694063) 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, 595543 + ... + 611681.

Almost surely, 29741694068 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 9741694068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342034160).

9741694068 is an abundant number, since it is smaller than the sum of its proper divisors (16942374252).

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

9741694068 is a wasteful number, since it uses less digits than its factorization.

9741694068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16190 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9741694068 is about 98700.0206079006. The cubic root of 9741694068 is about 2135.7225289745.

The spelling of 9741694068 in words is "nine billion, seven hundred forty-one million, six hundred ninety-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2187 2484 2916 3726 4374 5589 6561 7452 8748 11178 13122 16139 16767 22356 26244 32278 33534 48417 50301 64556 67068 96834 100602 145251 150903 193668 201204 290502 301806 371197 435753 581004 603612 742394 871506 1113591 1307259 1484788 1743012 2227182 2614518 3340773 3921777 4454364 5229036 6681546 7843554 10022319 11765331 13363092 15687108 20044638 23530662 30066957 35295993 40089276 47061324 60133914 70591986 90200871 105887979 120267828 141183972 180401742 211775958 270602613 360803484 423551916 541205226 811807839 1082410452 1623615678 2435423517 3247231356 4870847034 9741694068