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88043938068576 = 2537245134147313
BaseRepresentation
bin10100000001001101010011…
…101001110011100001100000
3102112201220210102110120111110
4110001031103221303201200
543020002441121143301
6511130454325543320
724354651601424100
oct2401152351634140
9375656712416443
1088043938068576
1126065251814646
129a5b608874b40
133a1867a655209
1417a54c6833200
15a2a358e760d6
hex501353a73860

88043938068576 has 144 divisors (see below), whose sum is σ = 268908090588144. Its totient is φ = 25149830823936.

The previous prime is 88043938068553. The next prime is 88043938068589. The reversal of 88043938068576 is 67586083934088.

It is a junction number, because it is equal to n+sod(n) for n = 88043938068498 and 88043938068507.

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 23 ways as a sum of consecutive naturals, for example, 19155496 + ... + 23302808.

It is an arithmetic number, because the mean of its divisors is an integer number (1867417295751).

Almost surely, 288043938068576 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 88043938068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134454045294072).

88043938068576 is an abundant number, since it is smaller than the sum of its proper divisors (180864152519568).

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

88043938068576 is a wasteful number, since it uses less digits than its factorization.

88043938068576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151853 (or 4151838 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 75.

The spelling of 88043938068576 in words is "eighty-eight trillion, forty-three billion, nine hundred thirty-eight million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4513 4704 9026 13539 18052 27078 31591 36104 54156 63182 72208 94773 108312 126364 144416 189546 216624 221137 252728 379092 433248 442274 505456 663411 758184 884548 1010912 1326822 1516368 1769096 2653644 3032736 3538192 4147313 5307288 7076384 8294626 10614576 12441939 16589252 21229152 24883878 29031191 33178504 49767756 58062382 66357008 87093573 99535512 116124764 132714016 174187146 199071024 203218337 232249528 348374292 398142048 406436674 464499056 609655011 696748584 812873348 928998112 1219310022 1393497168 1625746696 2438620044 2786994336 3251493392 4877240088 6502986784 9754480176 18716823569 19508960352 37433647138 56150470707 74867294276 112300941414 131017764983 149734588552 224601882828 262035529966 299469177104 393053294949 449203765656 524071059932 598938354208 786106589898 898407531312 917124354881 1048142119864 1572213179796 1796815062624 1834248709762 2096284239728 2751373064643 3144426359592 3668497419524 4192568479456 5502746129286 6288852719184 7336994839048 11005492258572 12577705438368 14673989678096 22010984517144 29347979356192 44021969034288 88043938068576