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2129932128 = 25331751953
BaseRepresentation
bin111111011110100…
…0010111101100000
312111102211202121010
41332331002331200
513330230312003
6551203500520
7103532060442
oct17675027540
95442752533
102129932128
119a3322595
124b5387740
1327c36ac8c
14162c3c492
15c6ecb003
hex7ef42f60

2129932128 has 96 divisors (see below), whose sum is σ = 5785178112. Its totient is φ = 685440000.

The previous prime is 2129932127. The next prime is 2129932163. The reversal of 2129932128 is 8212399212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21299321282 = 9073221739773216768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129932127) 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, 2234500 + ... + 2235452.

It is an arithmetic number, because the mean of its divisors is an integer number (60262272).

Almost surely, 22129932128 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 2129932128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892589056).

2129932128 is an abundant number, since it is smaller than the sum of its proper divisors (3655245984).

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

2129932128 is a wasteful number, since it uses less digits than its factorization.

2129932128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1740 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 2129932128 is about 46151.1877203610. The cubic root of 2129932128 is about 1286.6346848193.

The spelling of 2129932128 in words is "two billion, one hundred twenty-nine million, nine hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 751 953 992 1488 1502 1906 2253 2859 2976 3004 3812 4506 5718 6008 7624 9012 11436 12016 15248 18024 22872 23281 24032 29543 30496 36048 45744 46562 59086 69843 72096 88629 91488 93124 118172 139686 177258 186248 236344 279372 354516 372496 472688 558744 709032 715703 744992 945376 1117488 1418064 1431406 2147109 2234976 2836128 2862812 4294218 5725624 8588436 11451248 17176872 22186793 22902496 34353744 44373586 66560379 68707488 88747172 133120758 177494344 266241516 354988688 532483032 709977376 1064966064 2129932128