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2114153164544 = 28181197231607
BaseRepresentation
bin11110110000111101010…
…110010010111100000000
321111002222222011110001012
4132300331112102330000
5234114241202231134
64255121211300052
7305512454251661
oct36607526227400
97432888143035
102114153164544
11745675388993
122a18a174a628
1312449631c095
147447b497368
1539ed9a026ce
hex1ec3d592f00

2114153164544 has 72 divisors (see below), whose sum is σ = 4264921428768. Its totient is φ = 1045895639040.

The previous prime is 2114153164507. The next prime is 2114153164573. The reversal of 2114153164544 is 4454613514112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9012389 + ... + 9243995.

It is an arithmetic number, because the mean of its divisors is an integer number (59235019844).

Almost surely, 22114153164544 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 2114153164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132460714384).

2114153164544 is an abundant number, since it is smaller than the sum of its proper divisors (2150768264224).

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

2114153164544 is a wasteful number, since it uses less digits than its factorization.

2114153164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232001 (or 231987 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

Adding to 2114153164544 its reverse (4454613514112), we get a palindrome (6568766678656).

The spelling of 2114153164544 in words is "two trillion, one hundred fourteen billion, one hundred fifty-three million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 181 197 256 362 394 724 788 1448 1576 2896 3152 5792 6304 11584 12608 23168 25216 35657 46336 50432 71314 142628 231607 285256 463214 570512 926428 1141024 1852856 2282048 3705712 4564096 7411424 9128192 14822848 29645696 41920867 45626579 59291392 83841734 91253158 167683468 182506316 335366936 365012632 670733872 730025264 1341467744 1460050528 2682935488 2920101056 5365870976 5840202112 8258410799 10731741952 11680404224 16516821598 33033643196 66067286392 132134572784 264269145568 528538291136 1057076582272 2114153164544