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46085105332 = 22747257136261
BaseRepresentation
bin101010111010111000…
…101110011010110100
311101221202020220202001
4222322320232122310
51223340241332312
633100551425044
73221013634450
oct527270563264
9141852226661
1046085105332
11185a9927812
128b21985184
1344659783c6
142332811660
1512ead31057
hexabae2e6b4

46085105332 has 48 divisors (see below), whose sum is σ = 94498242048. Its totient is φ = 19255173120.

The previous prime is 46085105329. The next prime is 46085105377. The reversal of 46085105332 is 23350158064.

It is a junction number, because it is equal to n+sod(n) for n = 46085105291 and 46085105300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270082 + ... + 406342.

It is an arithmetic number, because the mean of its divisors is an integer number (1968713376).

Almost surely, 246085105332 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 46085105332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47249121024).

46085105332 is an abundant number, since it is smaller than the sum of its proper divisors (48413136716).

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

46085105332 is a wasteful number, since it uses less digits than its factorization.

46085105332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136576 (or 136574 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 46085105332 in words is "forty-six billion, eighty-five million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 94 188 257 329 514 658 1028 1316 1799 3598 7196 12079 24158 48316 84553 136261 169106 272522 338212 545044 953827 1907654 3815308 6404267 12808534 25617068 35019077 44829869 70038154 89659738 140076308 179319476 245133539 490267078 980534156 1645896619 3291793238 6583586476 11521276333 23042552666 46085105332