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10431505146 = 23232931471789
BaseRepresentation
bin10011011011100010…
…00010001011111010
3222220222201100220110
421231301002023322
5132330431131041
64443035205150
7516334221306
oct115561021372
928828640813
1010431505146
114473349237
1220315a67b6
13ca320cb6a
1470d5a8d06
15410be6516
hex26dc422fa

10431505146 has 128 divisors (see below), whose sum is σ = 23755161600. Its totient is φ = 3039886080.

The previous prime is 10431505121. The next prime is 10431505157. The reversal of 10431505146 is 64150513401.

It is a happy number.

10431505146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104315051462 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5830020 + ... + 5831808.

It is an arithmetic number, because the mean of its divisors is an integer number (185587200).

Almost surely, 210431505146 is an apocalyptic number.

10431505146 is an abundant number, since it is smaller than the sum of its proper divisors (13323656454).

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

10431505146 is a wasteful number, since it uses less digits than its factorization.

10431505146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10431505146 in words is "ten billion, four hundred thirty-one million, five hundred five thousand, one hundred forty-six".

Divisors: 1 2 3 6 23 29 31 46 47 58 62 69 87 93 94 138 141 174 186 282 667 713 899 1081 1334 1363 1426 1457 1789 1798 2001 2139 2162 2697 2726 2914 3243 3578 4002 4089 4278 4371 5367 5394 6486 8178 8742 10734 20677 31349 33511 41147 41354 42253 51881 55459 62031 62698 67022 82294 84083 84506 94047 100533 103762 110918 123441 124062 126759 155643 166377 168166 188094 201066 246882 252249 253518 311286 332754 504498 971819 1193263 1275557 1608311 1933909 1943638 2386526 2438407 2551114 2606573 2915457 3216622 3579789 3826671 3867818 4824933 4876814 5213146 5801727 5830914 7159578 7315221 7653342 7819719 9649866 11603454 14630442 15639438 36991153 56083361 59951179 73982306 75590617 110973459 112166722 119902358 151181234 168250083 179853537 221946918 226771851 336500166 359707074 453543702 1738584191 3477168382 5215752573 10431505146