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33400421404 = 22719378871913
BaseRepresentation
bin11111000110110100…
…011111110000011100
310012012201210012121121
4133012310133300130
51021401001441104
623202142540324
72261456616610
oct370664376034
9105181705547
1033400421404
111318a737a59
1265818976a4
1331c3a0797c
14188bcc5340
15d07416254
hex7c6d1fc1c

33400421404 has 96 divisors (see below), whose sum is σ = 72336337920. Its totient is φ = 13172792832.

The previous prime is 33400421393. The next prime is 33400421413. The reversal of 33400421404 is 40412400433.

It is a super-2 number, since 2×334004214042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17458752 + ... + 17460664.

It is an arithmetic number, because the mean of its divisors is an integer number (753503520).

Almost surely, 233400421404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400421404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36168168960).

33400421404 is an abundant number, since it is smaller than the sum of its proper divisors (38935916516).

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

33400421404 is a wasteful number, since it uses less digits than its factorization.

33400421404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 33400421404 its reverse (40412400433), we get a palindrome (73812821837).

The spelling of 33400421404 in words is "thirty-three billion, four hundred million, four hundred twenty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 703 887 1036 1406 1774 1913 2812 3548 3826 4921 6209 7652 9842 12418 13391 16853 19684 24836 26782 32819 33706 36347 53564 65638 67412 70781 72694 117971 131276 141562 145388 229733 235942 254429 283124 459466 471884 495467 508858 623561 918932 990934 1017716 1247122 1344839 1696831 1981868 2494244 2689678 3393662 4364927 5379356 6787324 8729854 9413873 11877817 17459708 18827746 23755634 32239789 37655492 47511268 62782747 64479578 125565494 128959156 225678523 251130988 439479229 451357046 878958458 902714092 1192872193 1757916916 2385744386 4771488772 8350105351 16700210702 33400421404