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46494476128 = 2517587145601
BaseRepresentation
bin101011010011010010…
…010110011101100000
311110000021120002220101
4223103102112131200
51230210041214003
633205333552144
73234114345352
oct532322263540
9143007502811
1046494476128
1118799a13091
129016aa5654
1344cc71b049
142370d350d2
151321c4611d
hexad3496760

46494476128 has 48 divisors (see below), whose sum is σ = 97086248784. Its totient is φ = 21842329600.

The previous prime is 46494476101. The next prime is 46494476137. The reversal of 46494476128 is 82167449464.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 246528 + ... + 392128.

It is an arithmetic number, because the mean of its divisors is an integer number (2022630183).

Almost surely, 246494476128 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 46494476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48543124392).

46494476128 is an abundant number, since it is smaller than the sum of its proper divisors (50591772656).

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

46494476128 is a wasteful number, since it uses less digits than its factorization.

46494476128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146215 (or 146207 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 46494476128 in words is "forty-six billion, four hundred ninety-four million, four hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 587 1174 2348 4696 9392 9979 18784 19958 39916 79832 145601 159664 291202 319328 582404 1164808 2329616 2475217 4659232 4950434 9900868 19801736 39603472 79206944 85467787 170935574 341871148 683742296 1367484592 1452952379 2734969184 2905904758 5811809516 11623619032 23247238064 46494476128