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46512642344 = 23710715151407
BaseRepresentation
bin101011010100010111…
…101001100100101000
311110001112202001021012
4223110113221210220
51230224214023334
633211223203052
73234424636160
oct532427514450
9143045661235
1046512642344
11187a91a0693
129020ba6488
13450340b89c
1423735035a0
1513236339ce
hexad45e9928

46512642344 has 64 divisors (see below), whose sum is σ = 101269647360. Its totient is φ = 19616529600.

The previous prime is 46512642299. The next prime is 46512642349. The reversal of 46512642344 is 44324621564.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46512642349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 879089 + ... + 930495.

It is an arithmetic number, because the mean of its divisors is an integer number (1582338240).

Almost surely, 246512642344 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 46512642344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50634823680).

46512642344 is an abundant number, since it is smaller than the sum of its proper divisors (54757005016).

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

46512642344 is a wasteful number, since it uses less digits than its factorization.

46512642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51678 (or 51674 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

The spelling of 46512642344 in words is "forty-six billion, five hundred twelve million, six hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 107 151 214 302 428 604 749 856 1057 1208 1498 2114 2996 4228 5992 8456 16157 32314 51407 64628 102814 113099 129256 205628 226198 359849 411256 452396 719698 904792 1439396 2878792 5500549 7762457 11001098 15524914 22002196 31049828 38503843 44004392 54337199 62099656 77007686 108674398 154015372 217348796 308030744 434697592 830582899 1661165798 3322331596 5814080293 6644663192 11628160586 23256321172 46512642344