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9994742604 = 2235711133541
BaseRepresentation
bin10010100111011101…
…11010101101001100
3221210112212112100000
421103232322231030
5130432123230404
64331434004300
7502451624160
oct112356725514
927715775300
109994742604
114269854060
121b2b276690
13c338994a2
146ab594ca0
153d76c0339
hex253bbab4c

9994742604 has 144 divisors (see below), whose sum is σ = 32665441536. Its totient is φ = 2596017600.

The previous prime is 9994742573. The next prime is 9994742609. The reversal of 9994742604 is 4062474999.

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

It is not an unprimeable number, because it can be changed into a prime (9994742609) 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 47 ways as a sum of consecutive naturals, for example, 8074 + ... + 141614.

It is an arithmetic number, because the mean of its divisors is an integer number (226843344).

Almost surely, 29994742604 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 9994742604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332720768).

9994742604 is an abundant number, since it is smaller than the sum of its proper divisors (22670698932).

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

9994742604 is a wasteful number, since it uses less digits than its factorization.

9994742604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133578 (or 133564 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9994742604 is about 99973.7095640649. The cubic root of 9994742604 is about 2154.0570666362.

The spelling of 9994742604 in words is "nine billion, nine hundred ninety-four million, seven hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 3402 3564 4158 5346 6237 6804 8316 10692 12474 18711 24948 37422 74844 133541 267082 400623 534164 801246 934787 1201869 1468951 1602492 1869574 2403738 2804361 2937902 3605607 3739148 4406853 4807476 5608722 5875804 7211214 8413083 8813706 10282657 10816821 11217444 13220559 14422428 16826166 17627412 20565314 21633642 25239249 26441118 30847971 32450463 33652332 39661677 41130628 43267284 50478498 52882236 61695942 64900926 75717747 79323354 92543913 100956996 118985031 123391884 129801852 151435494 158646708 185087826 227153241 237970062 277631739 302870988 356955093 370175652 454306482 475940124 555263478 713910186 832895217 908612964 1110526956 1427820372 1665790434 2498685651 3331580868 4997371302 9994742604