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42455533555424 = 2511271154433177
BaseRepresentation
bin10011010011100111100101…
…11111110000111011100000
312120022201011010112010220102
421221303302333300323200
521031042413042233144
6230143445230201532
711641211461634153
oct1151636277607340
9176281133463812
1042455533555424
1112589321973400
1249182003532a8
131a8c70276bc22
14a6ac0472bc9a
154d9574b84b4e
hex269cf2ff0ee0

42455533555424 has 72 divisors (see below), whose sum is σ = 93167683089264. Its totient is φ = 19026167283200.

The previous prime is 42455533555363. The next prime is 42455533555433.

42455533555424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42455533555424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76941677 + ... + 77491500.

It is an arithmetic number, because the mean of its divisors is an integer number (1293995598462).

Almost surely, 242455533555424 is an apocalyptic number.

42455533555424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42455533555424 is an abundant number, since it is smaller than the sum of its proper divisors (50712149533840).

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

42455533555424 is a wasteful number, since it uses less digits than its factorization.

42455533555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154433280 (or 154433261 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 56.

The spelling of 42455533555424 in words is "forty-two trillion, four hundred fifty-five billion, five hundred thirty-three million, five hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 484 568 781 968 1136 1562 1936 2272 3124 3872 6248 8591 12496 17182 24992 34364 68728 137456 274912 154433177 308866354 617732708 1235465416 1698764947 2470930832 3397529894 4941861664 6795059788 10964755567 13590119576 18686414417 21929511134 27180239152 37372828834 43859022268 54360478304 74745657668 87718044536 120612311237 149491315336 175436089072 241224622474 298982630672 350872178144 482449244948 597965261344 964898489896 1326735423607 1929796979792 2653470847214 3859593959584 5306941694428 10613883388856 21227766777712 42455533555424