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47345806976 = 27133315431
BaseRepresentation
bin101100000110000001…
…111010111010000000
311112012121111012021112
4230012001322322000
51233431011310401
633430024542452
73264162501446
oct540601727200
9145177435245
1047345806976
11190965235a6
129214021a28
134606c04000
142412022b96
15137185c3bb
hexb0607ae80

47345806976 has 128 divisors (see below), whose sum is σ = 105493785600. Its totient is φ = 21143116800.

The previous prime is 47345806961. The next prime is 47345806979. The reversal of 47345806976 is 67960854374.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (47345806979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714981 + ... + 8720411.

It is an arithmetic number, because the mean of its divisors is an integer number (824170200).

Almost surely, 247345806976 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 47345806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52746892800).

47345806976 is an abundant number, since it is smaller than the sum of its proper divisors (58147978624).

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

47345806976 is an equidigital number, since it uses as much as digits as its factorization.

47345806976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 47345806976 in words is "forty-seven billion, three hundred forty-five million, eight hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1664 1984 2197 2704 3224 3968 4394 5239 5408 5431 6448 8788 10478 10816 10862 12896 17576 20956 21632 21724 25792 35152 41912 43448 51584 68107 70304 70603 83824 86896 136214 140608 141206 167648 168361 173792 272428 281216 282412 335296 336722 347584 544856 564824 670592 673444 695168 917839 1089712 1129648 1346888 1835678 2179424 2188693 2259296 2693776 3671356 4358848 4377386 4518592 5387552 7342712 8717696 8754772 9037184 10775104 11931907 14685424 17509544 21550208 23863814 28453009 29370848 35019088 47727628 56906018 58741696 70038176 95455256 113812036 117483392 140076352 190910512 227624072 280152704 369889117 381821024 455248144 739778234 763642048 910496288 1479556468 1527284096 1820992576 2959112936 3641985152 5918225872 11836451744 23672903488 47345806976