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9484979640 = 2335535692621
BaseRepresentation
bin10001101010101100…
…10100110110111000
3220111000122220000020
420311112110312320
5123411123322030
64205104010440
7454021665603
oct106526246670
926430586006
109484979640
114028029654
121a08600a20
13b820a66b6
1465d9bb33a
153a7a79510
hex235594db8

9484979640 has 128 divisors (see below), whose sum is σ = 29053857600. Its totient is φ = 2476298240.

The previous prime is 9484979597. The next prime is 9484979641. The reversal of 9484979640 is 469794849.

It is a happy number.

9484979640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9484979641) by changing a digit.

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, 3617530 + ... + 3620150.

Almost surely, 29484979640 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 9484979640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526928800).

9484979640 is an abundant number, since it is smaller than the sum of its proper divisors (19568877960).

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

9484979640 is a wasteful number, since it uses less digits than its factorization.

9484979640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The square root of 9484979640 is about 97390.8601461143. The cubic root of 9484979640 is about 2116.7949999139.

The spelling of 9484979640 in words is "nine billion, four hundred eighty-four million, nine hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 569 636 795 1060 1138 1272 1590 1707 2120 2276 2621 2845 3180 3414 4552 5242 5690 6360 6828 7863 8535 10484 11380 13105 13656 15726 17070 20968 22760 26210 30157 31452 34140 39315 52420 60314 62904 68280 78630 90471 104840 120628 138913 150785 157260 180942 241256 277826 301570 314520 361884 416739 452355 555652 603140 694565 723768 833478 904710 1111304 1206280 1389130 1491349 1666956 1809420 2083695 2778260 2982698 3333912 3618840 4167390 4474047 5556520 5965396 7456745 8334780 8948094 11930792 14913490 16669560 17896188 22370235 29826980 35792376 44740470 59653960 79041497 89480940 158082994 178961880 237124491 316165988 395207485 474248982 632331976 790414970 948497964 1185622455 1580829940 1896995928 2371244910 3161659880 4742489820 9484979640