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33341430128 = 2419435095011
BaseRepresentation
bin11111000011010011…
…011101100101110000
310012001121210010210112
4133003103131211300
51021240401231003
623152234320452
72260142323436
oct370323354560
9105047703715
1033341430128
111315a405a36
126565b89128
1331b4721ba6
14188412ad56
15d021623d8
hex7c34dd970

33341430128 has 80 divisors (see below), whose sum is σ = 69730953600. Its totient is φ = 15392643840.

The previous prime is 33341430127. The next prime is 33341430163. The reversal of 33341430128 is 82103414333.

It is a super-2 number, since 2×333414301282 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33341430094 and 33341430103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33341430127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6651143 + ... + 6656153.

It is an arithmetic number, because the mean of its divisors is an integer number (871636920).

Almost surely, 233341430128 is an apocalyptic number.

33341430128 is a gapful number since it is divisible by the number (38) 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 33341430128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34865476800).

33341430128 is an abundant number, since it is smaller than the sum of its proper divisors (36389523472).

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

33341430128 is a wasteful number, since it uses less digits than its factorization.

33341430128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 33341430128 in words is "thirty-three billion, three hundred forty-one million, four hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 509 688 817 1018 1634 2036 3268 4072 5011 6536 8144 9671 10022 13072 19342 20044 21887 38684 40088 43774 77368 80176 87548 95209 154736 175096 190418 215473 350192 380836 415853 430946 761672 831706 861892 1523344 1663412 1723784 2550599 3326824 3447568 4093987 5101198 6653648 8187974 10202396 16375948 20404792 32751896 40809584 48461381 65503792 96922762 109675757 193845524 219351514 387691048 438703028 775382096 877406056 1754812112 2083839383 4167678766 8335357532 16670715064 33341430128