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2129375790 = 234519831667
BaseRepresentation
bin111111011101011…
…1011001000101110
312111101210111110000
41332322323020232
513330110011130
6551143525130
7103524252453
oct17672731056
95441714400
102129375790
119a2a82603
124b51597a6
1327c204999
14162b3582a
15c6e1b260
hex7eebb22e

2129375790 has 160 divisors (see below), whose sum is σ = 6103278720. Its totient is φ = 531147456.

The previous prime is 2129375747. The next prime is 2129375821. The reversal of 2129375790 is 975739212.

2129375790 is a `hidden beast` number, since 21 + 29 + 37 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1276537 + ... + 1278203.

It is an arithmetic number, because the mean of its divisors is an integer number (38145492).

Almost surely, 22129375790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129375790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051639360).

2129375790 is an abundant number, since it is smaller than the sum of its proper divisors (3973902930).

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

2129375790 is a wasteful number, since it uses less digits than its factorization.

2129375790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 2129375790 is about 46145.1599845531. The cubic root of 2129375790 is about 1286.5226521259.

The spelling of 2129375790 in words is "two billion, one hundred twenty-nine million, three hundred seventy-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 83 90 95 114 135 162 166 171 190 249 270 285 342 405 415 498 513 570 747 810 830 855 1026 1245 1494 1539 1577 1667 1710 2241 2490 2565 3078 3154 3334 3735 4482 4731 5001 5130 6723 7470 7695 7885 8335 9462 10002 11205 13446 14193 15003 15390 15770 16670 22410 23655 25005 28386 30006 31673 33615 42579 45009 47310 50010 63346 67230 70965 75015 85158 90018 95019 127737 135027 138361 141930 150030 158365 190038 212895 225045 255474 270054 276722 285057 316730 415083 425790 450090 475095 570114 638685 675135 691805 830166 855171 950190 1245249 1277370 1350270 1383610 1425285 1710342 2075415 2490498 2565513 2628859 2850570 3735747 4150830 4275855 5131026 5257718 6226245 7471494 7886577 8551710 11207241 12452490 12827565 13144295 15773154 18678735 22414482 23659731 25655130 26288590 37357470 39432885 47319462 56036205 70979193 78865770 112072410 118298655 141958386 212937579 236597310 354895965 425875158 709791930 1064687895 2129375790