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42135388032 = 273139789407
BaseRepresentation
bin100111001111011101…
…101111111110000000
311000202111011111012010
4213033131233332000
51142243124404112
631205015332520
73021103613613
oct471735577600
9130674144163
1042135388032
1116962367741
1281bb081140
133c865b098a
14207a02a17a
1511691de63c
hex9cf76ff80

42135388032 has 64 divisors (see below), whose sum is σ = 112727462400. Its totient is φ = 13944067584.

The previous prime is 42135388003. The next prime is 42135388069. The reversal of 42135388032 is 23088353124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341328 + ... + 448079.

It is an arithmetic number, because the mean of its divisors is an integer number (1761366600).

Almost surely, 242135388032 is an apocalyptic number.

It is an amenable number.

42135388032 is an abundant number, since it is smaller than the sum of its proper divisors (70592074368).

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

42135388032 is a wasteful number, since it uses less digits than its factorization.

42135388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789563 (or 789551 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 42135388032 in words is "forty-two billion, one hundred thirty-five million, three hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 26688 53376 789407 1578814 2368221 3157628 4736442 6315256 9472884 12630512 18945768 25261024 37891536 50522048 75783072 101044096 109727573 151566144 219455146 303132288 329182719 438910292 658365438 877820584 1316730876 1755641168 2633461752 3511282336 5266923504 7022564672 10533847008 14045129344 21067694016 42135388032