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2162944952 = 2371719197607
BaseRepresentation
bin1000000011101011…
…1110101110111000
312120201221222200022
42000322332232320
513412203214302
6554343230012
7104412504650
oct20072765670
95521858608
102162944952
11a0aa20613
12504448308
132861593ac
14167393360
15c9d4c8a2
hex80ebebb8

2162944952 has 128 divisors (see below), whose sum is σ = 5200588800. Its totient is φ = 820979712.

The previous prime is 2162944951. The next prime is 2162944967. The reversal of 2162944952 is 2594492612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162944951) 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 31 ways as a sum of consecutive naturals, for example, 3563033 + ... + 3563639.

It is an arithmetic number, because the mean of its divisors is an integer number (40629600).

Almost surely, 22162944952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162944952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

2162944952 is an abundant number, since it is smaller than the sum of its proper divisors (3037643848).

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

2162944952 is a wasteful number, since it uses less digits than its factorization.

2162944952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 2162944952 is about 46507.4720018192. The cubic root of 2162944952 is about 1293.2480200808.

The spelling of 2162944952 in words is "two billion, one hundred sixty-two million, nine hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 197 238 266 323 394 476 532 607 646 788 952 1064 1214 1292 1379 1576 2261 2428 2584 2758 3349 3743 4249 4522 4856 5516 6698 7486 8498 9044 10319 11032 11533 13396 14972 16996 18088 20638 23066 23443 26201 26792 29944 33992 41276 46132 46886 52402 63631 72233 80731 82552 92264 93772 104804 119579 127262 144466 161462 187544 196061 209608 239158 254524 288932 322924 392122 445417 478316 509048 577864 645848 784244 837053 890834 956632 1372427 1568488 1674106 1781668 2032843 2272001 2744854 3348212 3563336 4065686 4544002 5489708 6696424 8131372 9088004 10979416 14229901 15904007 16262744 18176008 28459802 31808014 38624017 56919604 63616028 77248034 113839208 127232056 154496068 270368119 308992136 540736238 1081472476 2162944952