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47835434016 = 2532374489061
BaseRepresentation
bin101100100011001101…
…101100110000100000
311120110201210211022100
4230203031230300200
51240431332342031
633550355210400
73312256323516
oct544315546040
9146421724270
1047835434016
1119317945647
12932bba6a00
134684496856
14245b0784b6
15139e826de6
hexb2336cc20

47835434016 has 72 divisors (see below), whose sum is σ = 139708587564. Its totient is φ = 15514191360.

The previous prime is 47835433991. The next prime is 47835434081. The reversal of 47835434016 is 61043453874.

It can be written as a sum of positive squares in 2 ways, for example, as 47306250000 + 529184016 = 217500^2 + 23004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233875 + ... + 2255186.

Almost surely, 247835434016 is an apocalyptic number.

It is an amenable number.

47835434016 is an abundant number, since it is smaller than the sum of its proper divisors (91873153548).

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

47835434016 is a wasteful number, since it uses less digits than its factorization.

47835434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489114 (or 4489103 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47835434016 in words is "forty-seven billion, eight hundred thirty-five million, four hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 4489061 8978122 13467183 17956244 26934366 35912488 40401549 53868732 71824976 80803098 107737464 143649952 161606196 166095257 215474928 323212392 332190514 430949856 498285771 646424784 664381028 996571542 1292849568 1328762056 1494857313 1993143084 2657524112 2989714626 3986286168 5315048224 5979429252 7972572336 11958858504 15945144672 23917717008 47835434016