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2115276725112 = 23329101149201953
BaseRepresentation
bin11110110010000000010…
…100010101101101111000
321111012220021100020101120
4132302000110111231320
5234124041320200422
64255424505145240
7305552346333525
oct36620024255570
97435807306346
102115276725112
117460a1625641
122a1b55a8b220
1312461502ba15
14745467aa14c
153a05348e45c
hex1ec80515b78

2115276725112 has 128 divisors (see below), whose sum is σ = 5561813160000. Its totient is φ = 669511270400.

The previous prime is 2115276725071. The next prime is 2115276725123.

2115276725112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21152767251122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10373128 + ... + 10575080.

Almost surely, 22115276725112 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 2115276725112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780906580000).

2115276725112 is an abundant number, since it is smaller than the sum of its proper divisors (3446536434888).

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

2115276725112 is a wasteful number, since it uses less digits than its factorization.

2115276725112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202241 (or 202237 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The spelling of 2115276725112 in words is "two trillion, one hundred fifteen billion, two hundred seventy-six million, seven hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 149 174 202 232 298 303 348 404 447 596 606 696 808 894 1192 1212 1788 2424 2929 3576 4321 5858 8642 8787 11716 12963 15049 17284 17574 23432 25926 30098 34568 35148 45147 51852 60196 70296 90294 103704 120392 180588 201953 361176 403906 436421 605859 807812 872842 1211718 1309263 1615624 1745684 2423436 2618526 3491368 4846872 5237052 5856637 10474104 11713274 17569911 20397253 23426548 30090997 35139822 40794506 46853096 60181994 61191759 70279644 81589012 90272991 120363988 122383518 140559288 163178024 180545982 240727976 244767036 361091964 489534072 591520337 722183928 872638913 1183040674 1745277826 1774561011 2366081348 2617916739 3039190697 3490555652 3549122022 4732162696 5235833478 6078381394 6981111304 7098244044 9117572091 10471666956 12156762788 14196488088 18235144182 20943333912 24313525576 36470288364 72940576728 88136530213 176273060426 264409590639 352546120852 528819181278 705092241704 1057638362556 2115276725112