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2141253564 = 22317193311669
BaseRepresentation
bin111111110100000…
…1110111110111100
312112020010221200120
41333220032332330
513341130103224
6552250254540
7104030232522
oct17750167674
95466127616
102141253564
119a975554a
124b9127450
13281803158
14164548312
15c7eb5779
hex7fa0efbc

2141253564 has 96 divisors (see below), whose sum is σ = 5588755200. Its totient is φ = 634106880.

The previous prime is 2141253559. The next prime is 2141253623. The reversal of 2141253564 is 4653521412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282122 + ... + 1283790.

It is an arithmetic number, because the mean of its divisors is an integer number (58216200).

Almost surely, 22141253564 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 2141253564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794377600).

2141253564 is an abundant number, since it is smaller than the sum of its proper divisors (3447501636).

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

2141253564 is a wasteful number, since it uses less digits than its factorization.

2141253564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2041 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2141253564 is about 46273.6811157271. The cubic root of 2141253564 is about 1288.9103158888.

Adding to 2141253564 its reverse (4653521412), we get a palindrome (6794774976).

The spelling of 2141253564 in words is "two billion, one hundred forty-one million, two hundred fifty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 331 646 662 969 993 1292 1324 1669 1938 1986 3338 3876 3972 5007 5627 6289 6676 10014 11254 12578 16881 18867 20028 22508 25156 28373 31711 33762 37734 56746 63422 67524 75468 85119 95133 106913 113492 126844 170238 190266 213826 320739 340476 380532 427652 539087 552439 641478 1078174 1104878 1282956 1617261 1657317 2156348 2209756 3234522 3314634 6469044 6629268 9391463 10496341 18782926 20992682 28174389 31489023 37565852 41985364 56348778 62978046 112697556 125956092 178437797 356875594 535313391 713751188 1070626782 2141253564