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33242099490 = 23453110312853
BaseRepresentation
bin11110111101011000…
…100010111100100010
310011210200212121210000
4132331120202330202
51021034434140430
623134325320430
72254525116645
oct367530427442
9104720777700
1033242099490
11131093313a6
126538866116
133199c83c72
141874c71a5c
15ce8590e60
hex7bd622f22

33242099490 has 160 divisors (see below), whose sum is σ = 93170727936. Its totient is φ = 8494657920.

The previous prime is 33242099461. The next prime is 33242099537. The reversal of 33242099490 is 9499024233.

It is a happy number.

33242099490 is a `hidden beast` number, since 3 + 32 + 42 + 0 + 99 + 490 = 666.

It is a super-2 number, since 2×332420994902 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2579904 + ... + 2592756.

Almost surely, 233242099490 is an apocalyptic number.

33242099490 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 33242099490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585363968).

33242099490 is an abundant number, since it is smaller than the sum of its proper divisors (59928628446).

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

33242099490 is a wasteful number, since it uses less digits than its factorization.

33242099490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 33242099490 in words is "thirty-three billion, two hundred forty-two million, ninety-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 103 135 155 162 186 206 270 279 309 310 405 465 515 558 618 810 837 927 930 1030 1395 1545 1674 1854 2511 2781 2790 3090 3193 4185 4635 5022 5562 6386 8343 8370 9270 9579 12555 12853 13905 15965 16686 19158 25110 25706 27810 28737 31930 38559 41715 47895 57474 64265 77118 83430 86211 95790 115677 128530 143685 172422 192795 231354 258633 287370 347031 385590 398443 431055 517266 578385 694062 796886 862110 1041093 1156770 1195329 1293165 1323859 1735155 1992215 2082186 2390658 2586330 2647718 3470310 3585987 3971577 3984430 5205465 5976645 6619295 7171974 7943154 10410930 10757961 11914731 11953290 13238590 17929935 19857885 21515922 23829462 32273883 35744193 35859870 39715770 41039629 53789805 59573655 64547766 71488386 82079258 107232579 107579610 119147310 123118887 161369415 178720965 205198145 214465158 246237774 322738830 357441930 369356661 410396290 536162895 615594435 738713322 1072325790 1108069983 1231188870 1846783305 2216139966 3324209949 3693566610 5540349915 6648419898 11080699830 16621049745 33242099490