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2129989152 = 253237912211
BaseRepresentation
bin111111011110101…
…0000111000100000
312111102221122211010
41332331100320200
513330234123102
6551205020520
7103532415624
oct17675207040
95442848733
102129989152
119a3361415
124b53b4740
1327c38ac15
14162c55184
15c6edcd6c
hex7ef50e20

2129989152 has 96 divisors (see below), whose sum is σ = 5908654080. Its totient is φ = 670475520.

The previous prime is 2129989123. The next prime is 2129989159. The reversal of 2129989152 is 2519899212.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2129989159) 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, 168327 + ... + 180537.

It is an arithmetic number, because the mean of its divisors is an integer number (61548480).

Almost surely, 22129989152 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 2129989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954327040).

2129989152 is an abundant number, since it is smaller than the sum of its proper divisors (3778664928).

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

2129989152 is a wasteful number, since it uses less digits than its factorization.

2129989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12318 counting only the distinct ones).

The product of its digits is 233280, while the sum is 48.

The square root of 2129989152 is about 46151.8055118107. The cubic root of 2129989152 is about 1286.6461669381.

The spelling of 2129989152 in words is "two billion, one hundred twenty-nine million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 368 474 552 632 736 948 1104 1264 1817 1896 2208 2528 3634 3792 5451 7268 7584 10902 12211 14536 21804 24422 29072 36633 43608 48844 58144 73266 87216 97688 146532 174432 195376 280853 293064 390752 561706 586128 842559 964669 1123412 1172256 1685118 1929338 2246824 2894007 3370236 3858676 4493648 5788014 6740472 7717352 8987296 11576028 13480944 15434704 22187387 23152056 26961888 30869408 44374774 46304112 66562161 88749548 92608224 133124322 177499096 266248644 354998192 532497288 709996384 1064994576 2129989152