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10630034028 = 223533072
BaseRepresentation
bin10011110011001100…
…10111001001101100
31000102211021200100000
421321212113021230
5133232242042103
64514450304300
7524264540565
oct117146271154
930384250300
1010630034028
114565416999
122087b88090
1310053a0683
1472bac716c
1542335eaa3
hex27999726c

10630034028 has 54 divisors (see below), whose sum is σ = 27873991236. Its totient is φ = 3542273208.

The previous prime is 10630034003. The next prime is 10630034053. The reversal of 10630034028 is 82043003601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10630034028 is a `hidden beast` number, since 1 + 0 + 630 + 0 + 3 + 4 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (10630034003) and next prime (10630034053).

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×106300340282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10630033992 and 10630034010.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3212751 + ... + 3216057.

Almost surely, 210630034028 is an apocalyptic number.

10630034028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10630034028 is an abundant number, since it is smaller than the sum of its proper divisors (17243957208).

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

10630034028 is an frugal number, since it uses more digits than its factorization.

10630034028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Multiplying 10630034028 by its sum of digits (27), we get a square (287010918756 = 5357342).

10630034028 divided by its sum of digits (27) gives a square (393704964 = 198422).

Adding to 10630034028 its reverse (82043003601), we get a palindrome (92673037629).

The spelling of 10630034028 in words is "ten billion, six hundred thirty million, thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3307 6614 9921 13228 19842 29763 39684 59526 89289 119052 178578 267867 357156 535734 803601 1071468 1607202 3214404 10936249 21872498 32808747 43744996 65617494 98426241 131234988 196852482 295278723 393704964 590557446 885836169 1181114892 1771672338 2657508507 3543344676 5315017014 10630034028