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47077947648 = 283220433137
BaseRepresentation
bin101011110110000100…
…000111100100000000
311111111221110112100200
4223312010013210000
51232403423311043
633343255445200
73254430644454
oct536604074400
9144457415320
1047077947648
1118a69301956
12915a386800
13459357a674
1423c8618664
15135809b7d3
hexaf6107900

47077947648 has 54 divisors (see below), whose sum is σ = 135737335734. Its totient is φ = 15692648448.

The previous prime is 47077947643. The next prime is 47077947691. The reversal of 47077947648 is 84674977074.

47077947648 is a `hidden beast` number, since 470 + 7 + 7 + 94 + 76 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28612399104 + 18465548544 = 169152^2 + 135888^2 .

It is not an unprimeable number, because it can be changed into a prime (47077947641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10214265 + ... + 10218872.

Almost surely, 247077947648 is an apocalyptic number.

47077947648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47077947648 is an abundant number, since it is smaller than the sum of its proper divisors (88659388086).

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

47077947648 is a wasteful number, since it uses less digits than its factorization.

47077947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20433159 (or 20433142 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 47077947648 in words is "forty-seven billion, seventy-seven million, nine hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 20433137 40866274 61299411 81732548 122598822 163465096 183898233 245197644 326930192 367796466 490395288 653860384 735592932 980790576 1307720768 1471185864 1961581152 2615441536 2942371728 3923162304 5230883072 5884743456 7846324608 11769486912 15692649216 23538973824 47077947648