Search a number
-
+
46474774136 = 237191372771151
BaseRepresentation
bin101011010010000111…
…001100011001111000
311102221220111010211222
4223102013030121320
51230140020233021
633203351411212
73233455030220
oct532207143170
9142856433758
1046474774136
111878988674a
129010383b08
1344c861046b
14236c487080
1513201536ab
hexad21cc678

46474774136 has 128 divisors (see below), whose sum is σ = 106068787200. Its totient is φ = 18647884800.

The previous prime is 46474774133. The next prime is 46474774139. The reversal of 46474774136 is 63147747464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46474774133) and next prime (46474774139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46474774133) 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, 40377161 + ... + 40378311.

It is an arithmetic number, because the mean of its divisors is an integer number (828662400).

Almost surely, 246474774136 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 46474774136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034393600).

46474774136 is an abundant number, since it is smaller than the sum of its proper divisors (59594013064).

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

46474774136 is a wasteful number, since it uses less digits than its factorization.

46474774136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 53.

The spelling of 46474774136 in words is "forty-six billion, four hundred seventy-four million, seven hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 137 152 266 274 277 532 548 554 959 1064 1096 1108 1151 1918 1939 2216 2302 2603 3836 3878 4604 5206 5263 7672 7756 8057 9208 10412 10526 15512 16114 18221 20824 21052 21869 32228 36442 36841 37949 42104 43738 64456 72884 73682 75898 87476 145768 147364 151796 153083 157687 174952 265643 294728 303592 306166 315374 318827 531286 612332 630748 637654 721031 1062572 1103809 1224664 1261496 1275308 1442062 2125144 2207618 2231789 2550616 2884124 2996053 4415236 4463578 5047217 5768248 5992106 6057713 8830472 8927156 10094434 11984212 12115426 17854312 20188868 20972371 23968424 24230852 40377736 41944742 42403991 43679299 48461704 83889484 84807982 87358598 167778968 169615964 174717196 305755093 339231928 349434392 611510186 829906681 1223020372 1659813362 2446040744 3319626724 5809346767 6639253448 11618693534 23237387068 46474774136