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32404461450540 = 223537113129173489
BaseRepresentation
bin1110101111000110000000…
…11010011111010100101100
311020201211120122010011000220
413113203000122133110230
513221403314112404130
6152530223140451340
76553100522451564
oct727430032372454
9136654518104026
1032404461450540
11a363722785043
1237742506a9b50
13151095c70bbca
14800554751da4
153b2dab1c6410
hex1d78c069f52c

32404461450540 has 96 divisors (see below), whose sum is σ = 94009365858240. Its totient is φ = 8333240057856.

The previous prime is 32404461450479. The next prime is 32404461450593. The reversal of 32404461450540 is 4505416440423.

32404461450540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 32404461450492 and 32404461450501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64335885 + ... + 64837604.

It is an arithmetic number, because the mean of its divisors is an integer number (979264227690).

Almost surely, 232404461450540 is an apocalyptic number.

32404461450540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32404461450540 is an abundant number, since it is smaller than the sum of its proper divisors (61604904407700).

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

32404461450540 is a wasteful number, since it uses less digits than its factorization.

32404461450540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129173651 (or 129173649 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 32404461450540 its reverse (4505416440423), we get a palindrome (36909877890963).

The spelling of 32404461450540 in words is "thirty-two trillion, four hundred four billion, four hundred sixty-one million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 452 555 565 678 740 1110 1130 1356 1695 2220 2260 3390 4181 6780 8362 12543 16724 20905 25086 41810 50172 62715 83620 125430 250860 129173489 258346978 387520467 516693956 645867445 775040934 1291734890 1550081868 1937602335 2583469780 3875204670 4779419093 7750409340 9558838186 14338257279 14596604257 19117676372 23897095465 28676514558 29193208514 43789812771 47794190930 57353029116 58386417028 71691286395 72983021285 87579625542 95588381860 143382572790 145966042570 175159251084 218949063855 286765145580 291932085140 437898127710 540074357509 875796255420 1080148715018 1620223072527 2160297430036 2700371787545 3240446145054 5400743575090 6480892290108 8101115362635 10801487150180 16202230725270 32404461450540