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420534051332992 = 2710976493940579
BaseRepresentation
bin101111110011110010011011…
…0101111101110001110000000
32001010222122220002112021111021
41133213210312233232032000
5420110012214120123432
64050222402014355224
7154402403552255122
oct13747446657561600
92033878802467437
10420534051332992
11111aa454274a643
123b1ba396abbb14
131508626349a0ac
1475bbd5720b212
1533940c8236697
hex17e7936bee380

420534051332992 has 64 divisors (see below), whose sum is σ = 845579507850000. Its totient is φ = 208310680240128.

The previous prime is 420534051332971. The next prime is 420534051333083. The reversal of 420534051332992 is 299233150435024.

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, 104748559 + ... + 108689137.

Almost surely, 2420534051332992 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 420534051332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422789753925000).

420534051332992 is an abundant number, since it is smaller than the sum of its proper divisors (425045456517008).

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

420534051332992 is a wasteful number, since it uses less digits than its factorization.

420534051332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948351 (or 3948339 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 420534051332992 in words is "four hundred twenty trillion, five hundred thirty-four billion, fifty-one million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 7649 13952 15298 30596 61192 122384 244768 489536 833741 979072 1667482 3334964 3940579 6669928 7881158 13339856 15762316 26679712 31524632 53359424 63049264 106718848 126098528 252197056 429523111 504394112 859046222 1718092444 3436184888 6872369776 13744739552 27489479104 30141488771 54978958208 60282977542 120565955084 241131910168 482263820336 964527640672 1929055281344 3285422276039 3858110562688 6570844552078 13141689104156 26283378208312 52566756416624 105133512833248 210267025666496 420534051332992