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2027671688796 = 2231389434933581
BaseRepresentation
bin11101100000011010101…
…001101001011001011100
321011211202221000021210220
4131200122221221121130
5231210132423020141
64151255521201340
7266331410656425
oct35403251513134
97154687007726
102027671688796
11711a26897186
12288b87190250
13119293450c20
14701d59ba64c
1537b274e1766
hex1d81aa6965c

2027671688796 has 96 divisors (see below), whose sum is σ = 5153762376000. Its totient is φ = 616728668160.

The previous prime is 2027671688759. The next prime is 2027671688807. The reversal of 2027671688796 is 6978861767202.

It is a super-2 number, since 2×20276716887962 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2027671688796.

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, 60364726 + ... + 60398306.

It is an arithmetic number, because the mean of its divisors is an integer number (53685024750).

Almost surely, 22027671688796 is an apocalyptic number.

2027671688796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027671688796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576881188000).

2027671688796 is an abundant number, since it is smaller than the sum of its proper divisors (3126090687204).

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

2027671688796 is a wasteful number, since it uses less digits than its factorization.

2027671688796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38039 (or 38037 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 2027671688796 in words is "two trillion, twenty-seven billion, six hundred seventy-one million, six hundred eighty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3471 4349 4628 6942 8698 13047 13884 17396 26094 33581 52188 56537 67162 100743 113074 134324 169611 201486 226148 339222 387061 402972 436553 678444 774122 873106 1161183 1309659 1548244 1746212 2322366 2619318 2988709 4644732 5031793 5238636 5977418 8966127 10063586 11954836 15095379 17932254 20127172 30190758 35864508 38853217 60381516 77706434 116559651 146043769 155412868 233119302 292087538 438131307 466238604 584175076 876262614 1752525228 1898568997 3797137994 5695706991 7594275988 11391413982 12997895441 22782827964 25995790882 38993686323 51991581764 77987372646 155974745292 168972640733 337945281466 506917922199 675890562932 1013835844398 2027671688796