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2123742912 = 26371831877
BaseRepresentation
bin111111010010101…
…1011111011000000
312111000012022120220
41332211123323000
513322134233122
6550423103040
7103425342204
oct17645337300
95430168526
102123742912
1199a885535
124b32a1a80
1327acb1b15
141620aab04
15c66a725c
hex7e95bec0

2123742912 has 112 divisors (see below), whose sum is σ = 5769937152. Its totient is φ = 689167360.

The previous prime is 2123742911. The next prime is 2123742919. The reversal of 2123742912 is 2192473212.

It is not an unprimeable number, because it can be changed into a prime (2123742911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130518 + ... + 1132394.

It is an arithmetic number, because the mean of its divisors is an integer number (51517296).

Almost surely, 22123742912 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 2123742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884968576).

2123742912 is an abundant number, since it is smaller than the sum of its proper divisors (3646194240).

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

2123742912 is a wasteful number, since it uses less digits than its factorization.

2123742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2123742912 is about 46084.0852355778. The cubic root of 2123742912 is about 1285.3872294605.

The spelling of 2123742912 in words is "two billion, one hundred twenty-three million, seven hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 83 96 142 166 192 213 249 284 332 426 498 568 664 852 996 1136 1328 1704 1877 1992 2272 2656 3408 3754 3984 4544 5312 5631 5893 6816 7508 7968 11262 11786 13632 15016 15936 17679 22524 23572 30032 35358 45048 47144 60064 70716 90096 94288 120128 133267 141432 155791 180192 188576 266534 282864 311582 360384 377152 399801 467373 533068 565728 623164 799602 934746 1066136 1131456 1246328 1599204 1869492 2132272 2492656 3198408 3738984 4264544 4985312 6396816 7477968 8529088 9970624 11061161 12793632 14955936 22122322 25587264 29911872 33183483 44244644 66366966 88489288 132733932 176978576 265467864 353957152 530935728 707914304 1061871456 2123742912