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30967281990 = 23352917322861
BaseRepresentation
bin11100110101110010…
…110011100101000110
32221221011101220211000
4130311302303211012
51001410111010430
622120504154130
72144253360651
oct346562634506
987834356730
1030967281990
1112151250337
126002a68946
132bc68b80c8
1416daaba898
15c139e5e60
hex735cb3946

30967281990 has 128 divisors (see below), whose sum is σ = 85924540800. Its totient is φ = 7926750720.

The previous prime is 30967281977. The next prime is 30967282037. The reversal of 30967281990 is 9918276903.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1343160 + ... + 1366020.

It is an arithmetic number, because the mean of its divisors is an integer number (671285475).

Almost surely, 230967281990 is an apocalyptic number.

30967281990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30967281990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962270400).

30967281990 is an abundant number, since it is smaller than the sum of its proper divisors (54957258810).

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

30967281990 is a wasteful number, since it uses less digits than its factorization.

30967281990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23079 (or 23073 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 30967281990 in words is "thirty billion, nine hundred sixty-seven million, two hundred eighty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 173 174 261 270 290 346 435 519 522 783 865 870 1038 1305 1557 1566 1730 2595 2610 3114 3915 4671 5017 5190 7785 7830 9342 10034 15051 15570 22861 23355 25085 30102 45153 45722 46710 50170 68583 75255 90306 114305 135459 137166 150510 205749 225765 228610 270918 342915 411498 451530 617247 662969 677295 685830 1028745 1234494 1325938 1354590 1988907 2057490 3086235 3314845 3954953 3977814 5966721 6172470 6629690 7909906 9944535 11864859 11933442 17900163 19774765 19889070 23729718 29833605 35594577 35800326 39549530 59324295 59667210 71189154 89500815 106783731 114693637 118648590 177972885 179001630 213567462 229387274 344080911 355945770 533918655 573468185 688161822 1032242733 1067837310 1146936370 1720404555 2064485466 3096728199 3440809110 5161213665 6193456398 10322427330 15483640995 30967281990