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47225249792 = 21378
BaseRepresentation
bin101011111110110110…
…000010000000000000
311111220012122020220122
4223332312002000000
51233204130443132
633410040555412
73261200000000
oct537666020000
9144805566818
1047225249792
1119034471166
12919b782b68
1345b7c435b6
142400000000
151365e96912
hexafed82000

47225249792 has 126 divisors (see below), whose sum is σ = 110185521183. Its totient is φ = 20239392768.

The previous prime is 47225249791. The next prime is 47225249837. The reversal of 47225249792 is 29794252274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 23612624896 + 23612624896 = 153664^2 + 153664^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153664.

It is a Duffinian number.

Its product of digits (5080320) is a multiple of the sum of its prime divisors (9).

It is not an unprimeable number, because it can be changed into a prime (47225249791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6746464253 + ... + 6746464259.

Almost surely, 247225249792 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 47225249792

47225249792 is an abundant number, since it is smaller than the sum of its proper divisors (62960271391).

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

47225249792 is an frugal number, since it uses more digits than its factorization.

47225249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 9 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The spelling of 47225249792 in words is "forty-seven billion, two hundred twenty-five million, two hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16807 19208 21952 25088 28672 33614 38416 43904 50176 57344 67228 76832 87808 100352 117649 134456 153664 175616 200704 235298 268912 307328 351232 401408 470596 537824 614656 702464 823543 941192 1075648 1229312 1404928 1647086 1882384 2151296 2458624 2809856 3294172 3764768 4302592 4917248 5764801 6588344 7529536 8605184 9834496 11529602 13176688 15059072 17210368 19668992 23059204 26353376 30118144 34420736 46118408 52706752 60236288 68841472 92236816 105413504 120472576 137682944 184473632 210827008 240945152 368947264 421654016 481890304 737894528 843308032 963780608 1475789056 1686616064 2951578112 3373232128 5903156224 6746464256 11806312448 23612624896 47225249792