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47147136344 = 2373119716103
BaseRepresentation
bin101011111010001100…
…000011010101011000
311111200202122200101222
4223322030003111120
51233024131330334
633354210431212
73256231022000
oct537214032530
9144622580358
1047147136344
1118aa43693a0
129179592508
1345a49c3b19
1423d38a9000
15135e1b6d2e
hexafa303558

47147136344 has 128 divisors (see below), whose sum is σ = 113629824000. Its totient is φ = 18178513920.

The previous prime is 47147136301. The next prime is 47147136391. The reversal of 47147136344 is 44363174174.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 47147136295 and 47147136304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2919797 + ... + 2935899.

It is an arithmetic number, because the mean of its divisors is an integer number (887733000).

Almost surely, 247147136344 is an apocalyptic number.

47147136344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47147136344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56814912000).

47147136344 is an abundant number, since it is smaller than the sum of its proper divisors (66482687656).

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

47147136344 is a wasteful number, since it uses less digits than its factorization.

47147136344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238 (or 16220 counting only the distinct ones).

The product of its digits is 677376, while the sum is 44.

The spelling of 47147136344 in words is "forty-seven billion, one hundred forty-seven million, one hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 97 98 154 194 196 308 343 388 392 539 616 679 686 776 1067 1078 1358 1372 2134 2156 2716 2744 3773 4268 4312 4753 5432 7469 7546 8536 9506 14938 15092 16103 19012 29876 30184 32206 33271 38024 52283 59752 64412 66542 104566 112721 128824 133084 177133 209132 225442 266168 354266 365981 418264 450884 708532 731962 789047 901768 1239931 1417064 1463924 1561991 1578094 2479862 2927848 3123982 3156188 4959724 5523329 6247964 6312376 8679517 9919448 10933937 11046658 12495928 17181901 17359034 21867874 22093316 34363802 34718068 43735748 44186632 60756619 68727604 69436136 76537559 87471496 120273307 121513238 137455208 153075118 240546614 243026476 306150236 481093228 486052952 535762913 612300472 841913149 962186456 1071525826 1683826298 2143051652 3367652596 4286103304 5893392043 6735305192 11786784086 23573568172 47147136344