Search a number
-
+
46526542412 = 227171036011579
BaseRepresentation
bin101011010101001100…
…101011001001001100
311110002111220020120112
4223111030223021030
51230241243324122
633212441135152
73234654041150
oct532514531114
9143074806515
1046526542412
1118806024a49
12902578a4b8
13450626768c
1423752c1060
15132497c2e2
hexad532b24c

46526542412 has 96 divisors (see below), whose sum is σ = 99712005120. Its totient is φ = 18542131200.

The previous prime is 46526542411. The next prime is 46526542483. The reversal of 46526542412 is 21424562564.

It is a self number, because there is not a number n which added to its sum of digits gives 46526542412.

It is not an unprimeable number, because it can be changed into a prime (46526542411) 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 31 ways as a sum of consecutive naturals, for example, 29465039 + ... + 29466617.

It is an arithmetic number, because the mean of its divisors is an integer number (1038666720).

Almost surely, 246526542412 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 46526542412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49856002560).

46526542412 is an abundant number, since it is smaller than the sum of its proper divisors (53185462708).

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

46526542412 is a wasteful number, since it uses less digits than its factorization.

46526542412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2309 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The spelling of 46526542412 in words is "forty-six billion, five hundred twenty-six million, five hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 601 721 1202 1442 1579 1751 2404 2884 3158 3502 4207 6316 7004 8414 10217 11053 12257 16828 20434 22106 24514 26843 40868 44212 49028 53686 61903 71519 107372 123806 143038 162637 187901 247612 286076 325274 375802 433321 650548 751604 866642 948979 1052351 1138459 1733284 1897958 2104702 2276918 2764829 3795916 4209404 4553836 5529658 6642853 7366457 11059316 13285706 14732914 16132643 19353803 26571412 29465828 32265286 38707606 64530572 77415212 97744837 112928501 195489674 225857002 390979348 451714004 684213859 1368427718 1661662229 2736855436 3323324458 6646648916 11631635603 23263271206 46526542412