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8050703648 = 251340947317
BaseRepresentation
bin1110111111101101…
…11111110100100000
3202210001211010020012
413133312333310200
5112441440004043
63410510304052
7403334565131
oct73766776440
922701733205
108050703648
113461459899
1216881b8028
139b3bb6890
14565305c88
15321bb3a18
hex1dfdbfd20

8050703648 has 48 divisors (see below), whose sum is σ = 17111135160. Its totient is φ = 3706546176.

The previous prime is 8050703641. The next prime is 8050703663. The reversal of 8050703648 is 8463070508.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7911746704 + 138956944 = 88948^2 + 11788^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8050703641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146486 + ... + 193802.

Almost surely, 28050703648 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 8050703648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555567580).

8050703648 is an abundant number, since it is smaller than the sum of its proper divisors (9060431512).

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

8050703648 is a wasteful number, since it uses less digits than its factorization.

8050703648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47749 (or 47741 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 8050703648 is about 89725.7134159434. The cubic root of 8050703648 is about 2004.2164087022.

The spelling of 8050703648 in words is "eight billion, fifty million, seven hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 409 416 818 1636 3272 5317 6544 10634 13088 21268 42536 47317 85072 94634 170144 189268 378536 615121 757072 1230242 1514144 2460484 4920968 9841936 19352653 19683872 38705306 77410612 154821224 251584489 309642448 503168978 619284896 1006337956 2012675912 4025351824 8050703648