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9404669640 = 23352331109919
BaseRepresentation
bin10001100001000111…
…11101111011001000
3220021102112201101210
420300203331323020
5123230043412030
64153114413120
7452025241632
oct106043757310
926242481353
109404669640
113a96766553
1219a57311a0
13b6b5681a2
14653073a52
153a09b3bb0
hex2308fdec8

9404669640 has 128 divisors (see below), whose sum is σ = 30390681600. Its totient is φ = 2321468160.

The previous prime is 9404669633. The next prime is 9404669653. The reversal of 9404669640 is 469664049.

9404669640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×94046696402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9404669640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30601 + ... + 140519.

It is an arithmetic number, because the mean of its divisors is an integer number (237427200).

Almost surely, 29404669640 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 9404669640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195340800).

9404669640 is an abundant number, since it is smaller than the sum of its proper divisors (20986011960).

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

9404669640 is a wasteful number, since it uses less digits than its factorization.

9404669640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109987 (or 109983 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 9404669640 is about 96977.6759878272. The cubic root of 9404669640 is about 2110.8037069136.

The spelling of 9404669640 in words is "nine billion, four hundred four million, six hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 372 460 465 552 620 690 713 744 920 930 1240 1380 1426 1860 2139 2760 2852 3565 3720 4278 5704 7130 8556 10695 14260 17112 21390 28520 42780 85560 109919 219838 329757 439676 549595 659514 879352 1099190 1319028 1648785 2198380 2528137 2638056 3297570 3407489 4396760 5056274 6595140 6814978 7584411 10112548 10222467 12640685 13190280 13629956 15168822 17037445 20225096 20444934 25281370 27259912 30337644 34074890 37922055 40889868 50562740 51112335 60675288 68149780 75844110 78372247 81779736 101125480 102224670 136299560 151688220 156744494 204449340 235116741 303376440 313488988 391861235 408898680 470233482 626977976 783722470 940466964 1175583705 1567444940 1880933928 2351167410 3134889880 4702334820 9404669640