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9989741475 = 335272319743
BaseRepresentation
bin10010100110110111…
…10101101110100011
3221210012110110002000
421103123311232203
5130424333211400
64331134455043
7502361254500
oct112333655643
927705413060
109989741475
114266a4869a
121b29664483
13c3283803c
146aaa524a7
153d7033600
hex2536f5ba3

9989741475 has 144 divisors (see below), whose sum is σ = 22038589440. Its totient is φ = 4418971200.

The previous prime is 9989741423. The next prime is 9989741479. The reversal of 9989741475 is 5741479899.

9989741475 is a `hidden beast` number, since 9 + 98 + 9 + 74 + 1 + 475 = 666.

It is not a de Polignac number, because 9989741475 - 27 = 9989741347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9989741479) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1020454 + ... + 1030196.

It is an arithmetic number, because the mean of its divisors is an integer number (153045760).

Almost surely, 29989741475 is an apocalyptic number.

9989741475 is an abundant number, since it is smaller than the sum of its proper divisors (12048847965).

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

9989741475 is a wasteful number, since it uses less digits than its factorization.

9989741475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9789 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 9989741475 is about 99948.6942135814. The cubic root of 9989741475 is about 2153.6977272317.

The spelling of 9989741475 in words is "nine billion, nine hundred eighty-nine million, seven hundred forty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 49 63 75 93 105 135 147 155 175 189 217 225 245 279 315 441 465 525 651 675 735 775 837 945 1085 1225 1323 1395 1519 1575 1953 2205 2325 3255 3675 4185 4557 4725 5425 5859 6615 6975 7595 9743 9765 11025 13671 16275 20925 22785 29229 29295 33075 37975 41013 48715 48825 68201 68355 87687 113925 146145 146475 204603 205065 243575 263061 302033 341005 341775 438435 477407 613809 730725 906099 1023015 1025325 1315305 1432221 1510165 1705025 1841427 2114231 2192175 2387035 2718297 3069045 4296663 4530495 5115075 6342693 6576525 7161105 7550825 8154891 9207135 10571155 11935175 12889989 13591485 14799617 15345225 19028079 21483315 22652475 31713465 35805525 40774455 44398851 46035675 52855775 57084237 64449945 67957425 73998085 95140395 107416575 133196553 158567325 203872275 221994255 285421185 322249725 369990425 399589659 475701975 665982765 1109971275 1427105925 1997948295 3329913825 9989741475