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4634426144 = 254124114657
BaseRepresentation
bin1000101000011101…
…11011101100100000
3102221222111020111202
410110032323230200
533442403114034
62043511500332
7222562654325
oct42416735440
912858436452
104634426144
111a69015a57
12a940876a8
1358b1b1aba
1431d6dcb4c
151c1ce347e
hex1143bbb20

4634426144 has 48 divisors (see below), whose sum is σ = 9385986456. Its totient is φ = 2251161600.

The previous prime is 4634426131. The next prime is 4634426191. The reversal of 4634426144 is 4416244364.

It can be written as a sum of positive squares in 4 ways, for example, as 4480963600 + 153462544 = 66940^2 + 12388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4634426098 and 4634426107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308864 + ... + 323520.

Almost surely, 24634426144 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 4634426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692993228).

4634426144 is an abundant number, since it is smaller than the sum of its proper divisors (4751560312).

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

4634426144 is a wasteful number, since it uses less digits than its factorization.

4634426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949 (or 14941 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The square root of 4634426144 is about 68076.6196575594. The cubic root of 4634426144 is about 1667.2420497289.

The spelling of 4634426144 in words is "four billion, six hundred thirty-four million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 241 328 482 656 964 1312 1928 3856 7712 9881 14657 19762 29314 39524 58628 79048 117256 158096 234512 316192 469024 600937 1201874 2403748 3532337 4807496 7064674 9614992 14129348 19229984 28258696 56517392 113034784 144825817 289651634 579303268 1158606536 2317213072 4634426144