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9381739140 = 223554344893
BaseRepresentation
bin10001011110011000…
…11111101010000100
3220012211101201200000
420233030133222010
5123203211123030
64150535121300
7451326316104
oct105714375204
926184351600
109381739140
113a84824524
121999b13230
13b66899c47
1464ddc5204
1539d984860
hex22f31fa84

9381739140 has 144 divisors (see below), whose sum is σ = 30198936768. Its totient is φ = 2443561344.

The previous prime is 9381739139. The next prime is 9381739181. The reversal of 9381739140 is 419371839.

9381739140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 186534 + ... + 231426.

Almost surely, 29381739140 is an apocalyptic number.

9381739140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9381739140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099468384).

9381739140 is an abundant number, since it is smaller than the sum of its proper divisors (20817197628).

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

9381739140 is a wasteful number, since it uses less digits than its factorization.

9381739140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44960 (or 44946 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9381739140 is about 96859.3781726891. The cubic root of 9381739140 is about 2109.0867876444.

The spelling of 9381739140 in words is "nine billion, three hundred eighty-one million, seven hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3483 3870 4644 4860 5805 6966 7740 10449 11610 13932 17415 20898 23220 34830 41796 44893 52245 69660 89786 104490 134679 179572 208980 224465 269358 404037 448930 538716 673395 808074 897860 1212111 1346790 1616148 1930399 2020185 2424222 2693580 3636333 3860798 4040370 4848444 5791197 6060555 7272666 7721596 8080740 9651995 10908999 11582394 12121110 14545332 17373591 18181665 19303990 21817998 23164788 24242220 28955985 34747182 36363330 38607980 43635996 52120773 54544995 57911970 69494364 72726660 86867955 104241546 109089990 115823940 156362319 173735910 208483092 218179980 260603865 312724638 347471820 469086957 521207730 625449276 781811595 938173914 1042415460 1563623190 1876347828 2345434785 3127246380 4690869570 9381739140