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8048037000704 = 29107781718793
BaseRepresentation
bin111010100011101010001…
…1000101111011000000000
31001111101101112110212200112
41311013110120233120000
52023324334433010304
625041114523410452
71460310600534041
oct165072430573000
931441345425615
108048037000704
112623176090918
12a9b91b383a28
13464c07a7312c
141db7543c68c8
15de534305b6e
hex751d462f600

8048037000704 has 80 divisors (see below), whose sum is σ = 16233578962128. Its totient is φ = 3985688788992.

The previous prime is 8048037000631. The next prime is 8048037000713. The reversal of 8048037000704 is 4070007308408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428237132 + ... + 428255924.

Almost surely, 28048037000704 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 8048037000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116789481064).

8048037000704 is an abundant number, since it is smaller than the sum of its proper divisors (8185541961424).

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

8048037000704 is a wasteful number, since it uses less digits than its factorization.

8048037000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735 (or 26719 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 8048037000704 in words is "eight trillion, forty-eight billion, thirty-seven million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1712 3424 6848 7817 13696 15634 18793 27392 31268 37586 54784 62536 75172 125072 150344 250144 300688 500288 601376 836419 1000576 1202752 1672838 2001152 2010851 2405504 3345676 4002304 4021702 4811008 6691352 8043404 9622016 13382704 16086808 26765408 32173616 53530816 64347232 107061632 128694464 146904881 214123264 257388928 293809762 428246528 514777856 587619524 1029555712 1175239048 2350478096 4700956192 9401912384 15718822267 18803824768 31437644534 37607649536 62875289068 75215299072 125750578136 251501156272 503002312544 1006004625088 2012009250176 4024018500352 8048037000704