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30634706048 = 2710715114813
BaseRepresentation
bin11100100001111110…
…001000010010000000
32221001222121022101112
4130201332020102000
51000214441043143
622023504022452
72133104463542
oct344176102200
987058538345
1030634706048
1111aa0547091
125b2b601a28
132b72a229cb
1416a8867692
15be46eee18
hex721f88480

30634706048 has 64 divisors (see below), whose sum is σ = 62012589120. Its totient is φ = 15072691200.

The previous prime is 30634706029. The next prime is 30634706051. The reversal of 30634706048 is 84060743603.

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

It is a junction number, because it is equal to n+sod(n) for n = 30634705996 and 30634706014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2060690 + ... + 2075502.

It is an arithmetic number, because the mean of its divisors is an integer number (968946705).

Almost surely, 230634706048 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 30634706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31006294560).

30634706048 is an abundant number, since it is smaller than the sum of its proper divisors (31377883072).

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

30634706048 is a wasteful number, since it uses less digits than its factorization.

30634706048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15073 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 30634706048 in words is "thirty billion, six hundred thirty-four million, seven hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 151 214 302 428 604 856 1208 1712 2416 3424 4832 6848 9664 13696 14813 16157 19328 29626 32314 59252 64628 118504 129256 237008 258512 474016 517024 948032 1034048 1584991 1896064 2068096 2236763 3169982 4473526 6339964 8947052 12679928 17894104 25359856 35788208 50719712 71576416 101439424 143152832 202878848 239333641 286305664 478667282 957334564 1914669128 3829338256 7658676512 15317353024 30634706048