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1630970568 = 2332891991279
BaseRepresentation
bin110000100110110…
…1010001011001000
311012122221220000100
41201031222023020
511320012024233
6425501205400
755263010143
oct14115521310
94178856010
101630970568
11767705367
12396260860
131ccb8a756
1411687705a
15982ba813
hex6136a2c8

1630970568 has 96 divisors (see below), whose sum is σ = 4492800000. Its totient is φ = 534428928.

The previous prime is 1630970557. The next prime is 1630970591. The reversal of 1630970568 is 8650790361.

It is a happy number.

1630970568 is a `hidden beast` number, since 1 + 630 + 9 + 7 + 0 + 5 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274553 + ... + 1275831.

It is an arithmetic number, because the mean of its divisors is an integer number (46800000).

Almost surely, 21630970568 is an apocalyptic number.

1630970568 is a gapful number since it is divisible by the number (18) 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 1630970568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246400000).

1630970568 is an abundant number, since it is smaller than the sum of its proper divisors (2861829432).

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

1630970568 is a wasteful number, since it uses less digits than its factorization.

1630970568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1630970568 is about 40385.2766240371. The cubic root of 1630970568 is about 1177.1054612843.

The spelling of 1630970568 in words is "one billion, six hundred thirty million, nine hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 199 267 356 398 534 597 712 796 801 1068 1194 1279 1592 1602 1791 2136 2388 2558 3204 3582 3837 4776 5116 6408 7164 7674 10232 11511 14328 15348 17711 23022 30696 35422 46044 53133 70844 92088 106266 113831 141688 159399 212532 227662 254521 318798 341493 425064 455324 509042 637596 682986 763563 910648 1018084 1024479 1275192 1365972 1527126 2036168 2048958 2290689 2731944 3054252 4097916 4581378 6108504 8195832 9162756 18325512 22652369 45304738 67957107 90609476 135914214 181218952 203871321 271828428 407742642 543656856 815485284 1630970568