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2141746152 = 2337137391327
BaseRepresentation
bin111111110101000…
…0111001111101000
312112021001222101120
41333222013033220
513341241334102
6552305015240
7104034353610
oct17752071750
95467058346
102141746152
119a9a61647
124b9324520
13281946420
14164635a40
15c80616bc
hex7fa873e8

2141746152 has 128 divisors (see below), whose sum is σ = 6603878400. Its totient is φ = 563666688.

The previous prime is 2141746127. The next prime is 2141746153. The reversal of 2141746152 is 2516471412.

It is not an unprimeable number, because it can be changed into a prime (2141746153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613313 + ... + 1614639.

It is an arithmetic number, because the mean of its divisors is an integer number (51592800).

Almost surely, 22141746152 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 2141746152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301939200).

2141746152 is an abundant number, since it is smaller than the sum of its proper divisors (4462132248).

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

2141746152 is a wasteful number, since it uses less digits than its factorization.

2141746152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2141746152 is about 46279.0033600552. The cubic root of 2141746152 is about 1289.0091447689.

The spelling of 2141746152 in words is "two billion, one hundred forty-one million, seven hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 739 1092 1327 1478 2184 2217 2654 2956 3981 4434 5173 5308 5912 7962 8868 9289 9607 10346 10616 15519 15924 17251 17736 18578 19214 20692 27867 28821 31038 31848 34502 37156 38428 41384 51753 55734 57642 62076 67249 69004 74312 76856 103506 111468 115284 120757 124152 134498 138008 201747 207012 222936 230568 241514 268996 362271 403494 414024 483028 537992 724542 806988 966056 980653 1449084 1613976 1961306 2898168 2941959 3922612 5883918 6864571 7845224 11767836 12748489 13729142 20593713 23535672 25496978 27458284 38245467 41187426 50993956 54916568 76490934 82374852 89239423 101987912 152981868 164749704 178478846 267718269 305963736 356957692 535436538 713915384 1070873076 2141746152