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1630470464 = 2676159663
BaseRepresentation
bin110000100101111…
…0000000101000000
311012122000110222222
41201023300011000
511314400023324
6425442350212
755255525130
oct14113600500
94178013888
101630470464
117673a3657
1239605b368
131cca43c2c
14116786ac0
159821c55e
hex612f0140

1630470464 has 56 divisors (see below), whose sum is σ = 3758354688. Its totient is φ = 687306240.

The previous prime is 1630470463. The next prime is 1630470469. The reversal of 1630470464 is 4640740361.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630470461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2504 + ... + 57159.

Almost surely, 21630470464 is an apocalyptic number.

1630470464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879177344).

1630470464 is an abundant number, since it is smaller than the sum of its proper divisors (2127884224).

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

1630470464 is an equidigital number, since it uses as much as digits as its factorization.

1630470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59743 (or 59733 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 1630470464 is about 40379.0844868974. The cubic root of 1630470464 is about 1176.9851371575.

It can be divided in two parts, 16304 and 70464, that added together give a palindrome (86768).

The spelling of 1630470464 in words is "one billion, six hundred thirty million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 13664 27328 59663 119326 238652 417641 477304 835282 954608 1670564 1909216 3341128 3639443 3818432 6682256 7278886 13364512 14557772 25476101 26729024 29115544 50952202 58231088 101904404 116462176 203808808 232924352 407617616 815235232 1630470464