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2126126010 = 235293122543
BaseRepresentation
bin111111010111010…
…0001101110111010
312111011200101120210
41332232201232322
513323242013020
6550550131550
7103454526051
oct17656415672
95434611523
102126126010
119a1162a38
124b4050bb6
1327b637738
1416252b398
15c69c83e0
hex7eba1bba

2126126010 has 96 divisors (see below), whose sum is σ = 5456574720. Its totient is φ = 529549440.

The previous prime is 2126125999. The next prime is 2126126033. The reversal of 2126126010 is 106216212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834799 + ... + 837341.

It is an arithmetic number, because the mean of its divisors is an integer number (56839320).

Almost surely, 22126126010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126126010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728287360).

2126126010 is an abundant number, since it is smaller than the sum of its proper divisors (3330448710).

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

2126126010 is a wasteful number, since it uses less digits than its factorization.

2126126010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2126126010 is about 46109.9339622169. The cubic root of 2126126010 is about 1285.8678367050.

The spelling of 2126126010 in words is "two billion, one hundred twenty-six million, one hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 961 1798 1922 2543 2697 2883 4495 4805 5086 5394 5766 7629 8990 9610 12715 13485 14415 15258 25430 26970 27869 28830 38145 55738 73747 76290 78833 83607 139345 147494 157666 167214 221241 236499 278690 368735 394165 418035 442482 472998 737470 788330 836070 1106205 1182495 2212410 2286157 2364990 2443823 4572314 4887646 6858471 7331469 11430785 12219115 13716942 14662938 22861570 24438230 34292355 36657345 68584710 70870867 73314690 141741734 212612601 354354335 425225202 708708670 1063063005 2126126010