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1053152037 = 38723997
BaseRepresentation
bin111110110001011…
…101001100100101
32201101200200000000
4332301131030211
54124101331122
6252300411513
735045434050
oct7661351445
92641620000
101053152037
114a0527793
12254846b99
1313a25a1b2
149dc25a97
15626d00ac
hex3ec5d325

1053152037 has 72 divisors (see below), whose sum is σ = 1885693056. Its totient is φ = 575058528.

The previous prime is 1053152033. The next prime is 1053152047. The reversal of 1053152037 is 7302513501.

1053152037 is a `hidden beast` number, since 105 + 3 + 1 + 520 + 37 = 666.

It is not a de Polignac number, because 1053152037 - 22 = 1053152033 is a prime.

It is a super-2 number, since 2×10531520372 = 2218258426074498738, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1053152037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053152033) 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 71 ways as a sum of consecutive naturals, for example, 1055823 + ... + 1056819.

Almost surely, 21053152037 is an apocalyptic number.

It is an amenable number.

1053152037 is a deficient number, since it is larger than the sum of its proper divisors (832541019).

1053152037 is an frugal number, since it uses more digits than its factorization.

1053152037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1053152037 is about 32452.3040322255. The cubic root of 1053152037 is about 1017.4123944239.

Adding to 1053152037 its reverse (7302513501), we get a palindrome (8355665538).

The spelling of 1053152037 in words is "one billion, fifty-three million, one hundred fifty-two thousand, thirty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 729 997 1449 1701 1863 2187 2991 4347 5103 5589 6561 6979 8973 13041 15309 16767 20937 22931 26919 39123 45927 50301 62811 68793 80757 117369 150903 160517 188433 206379 242271 352107 481551 565299 619137 726813 1056321 1444653 1695897 1857411 2180439 4333959 5087691 5572233 6541317 13001877 15263073 16716699 39005631 45789219 50150097 117016893 150450291 351050679 1053152037