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2034121152 = 26371979657
BaseRepresentation
bin111100100111110…
…0011100111000000
312020202120001122110
41321033203213000
513131213334102
6533502135320
7101256513240
oct17117434700
95222501573
102034121152
11954232368
12489281540
132655630ab
1415421bb20
15bd8a286c
hex793e39c0

2034121152 has 112 divisors (see below), whose sum is σ = 6474602240. Its totient is φ = 550582272.

The previous prime is 2034121123. The next prime is 2034121153. The reversal of 2034121152 is 2511214302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20341211522 = 8275297722027614208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034121153) 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, 14293 + ... + 65364.

Almost surely, 22034121152 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 2034121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237301120).

2034121152 is an abundant number, since it is smaller than the sum of its proper divisors (4440481088).

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

2034121152 is a wasteful number, since it uses less digits than its factorization.

2034121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79698 (or 79688 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2034121152 is about 45101.2322669791. The cubic root of 2034121152 is about 1267.0456783937.

Adding to 2034121152 its reverse (2511214302), we get a palindrome (4545335454).

The spelling of 2034121152 in words is "two billion, thirty-four million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 79657 159314 238971 318628 477942 557599 637256 955884 1115198 1274512 1513483 1672797 1911768 2230396 2549024 3026966 3345594 3823536 4460792 4540449 5098048 6053932 6691188 7647072 8921584 9080898 10594381 12107864 13382376 15294144 17843168 18161796 21188762 24215728 26764752 31783143 35686336 36323592 42377524 48431456 53529504 63566286 72647184 84755048 96862912 107059008 127132572 145294368 169510096 254265144 290588736 339020192 508530288 678040384 1017060576 2034121152