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47192480256 = 293223137777
BaseRepresentation
bin101011111100111001…
…000001101000000000
311111210220222101120010
4223330321001220000
51233122233332011
633402510344520
73260321314665
oct537471015000
9144726871503
1047192480256
1119017a199a9
1291907bb140
1345b120bb3c
1423d990da6c
1513631721a6
hexafce41a00

47192480256 has 80 divisors (see below), whose sum is σ = 126288417024. Its totient is φ = 15660171264.

The previous prime is 47192480213. The next prime is 47192480339. The reversal of 47192480256 is 65208429174.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 273640 + ... + 411416.

Almost surely, 247192480256 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 47192480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144208512).

47192480256 is an abundant number, since it is smaller than the sum of its proper divisors (79095936768).

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

47192480256 is a wasteful number, since it uses less digits than its factorization.

47192480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138021 (or 138005 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 47192480256 in words is "forty-seven billion, one hundred ninety-two million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1338 1536 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 114176 137777 171264 275554 342528 413331 551108 826662 1102216 1653324 2204432 3306648 4408864 6613296 8817728 13226592 17635456 26453184 30724271 35270912 52906368 61448542 70541824 92172813 105812736 122897084 184345626 211625472 245794168 368691252 491588336 737382504 983176672 1474765008 1966353344 2949530016 3932706688 5899060032 7865413376 11798120064 15730826752 23596240128 47192480256