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108638681859568 = 24723227558133289
BaseRepresentation
bin11000101100111001101010…
…000010101000010111110000
3112020122202102112022001101201
4120230321222002220113300
5103214414010024001233
61023015531011340544
731611612545324350
oct3054715202502760
9466582375261351
10108638681859568
1131685451783593
1210226aa28b1754
13488077862ccb3
141cb81d6c1cb60
15c85e1c4b477d
hex62ce6a0a85f0

108638681859568 has 160 divisors (see below), whose sum is σ = 252174632647680. Its totient is φ = 44329645578240.

The previous prime is 108638681859541. The next prime is 108638681859571. The reversal of 108638681859568 is 865958186836801.

It is a junction number, because it is equal to n+sod(n) for n = 108638681859491 and 108638681859500.

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, 3263484268 + ... + 3263517556.

It is an arithmetic number, because the mean of its divisors is an integer number (1576091454048).

Almost surely, 2108638681859568 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 108638681859568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126087316323840).

108638681859568 is an abundant number, since it is smaller than the sum of its proper divisors (143535950788112).

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

108638681859568 is a wasteful number, since it uses less digits than its factorization.

108638681859568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39135 (or 39129 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 82.

The spelling of 108638681859568 in words is "one hundred eight trillion, six hundred thirty-eight billion, six hundred eighty-one million, eight hundred fifty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 227 322 368 454 644 908 1288 1589 1816 2576 3178 3632 5221 5581 6356 10442 11162 12712 20884 22324 25424 33289 36547 39067 41768 44648 66578 73094 78134 83536 89296 128363 133156 146188 156268 233023 256726 266312 292376 312536 466046 513452 532624 584752 625072 765647 898541 932092 1026904 1266887 1531294 1797082 1864184 2053808 2533774 3062588 3594164 3728368 5067548 5359529 6125176 7188328 7556603 8868209 10135096 10719058 12250352 14376656 15113206 17736418 20270192 21438116 29138401 30226412 35472836 42876232 52896221 58276802 60452824 70945672 85752464 105792442 116553604 120905648 141891344 173801869 185785909 203968807 211584884 233107208 347603738 371571818 407937614 423169768 466214416 695207476 743143636 815875228 846339536 1216613083 1300501363 1390414952 1486287272 1631750456 2433226166 2601002726 2780829904 2972574544 3263500912 4273075907 4866452332 5202005452 8546151814 9732904664 10404010904 17092303628 19465809328 20808021808 29911531349 34184607256 42173401343 59823062698 68369214512 84346802686 119646125396 168693605372 239292250792 295213809401 337387210744 478584501584 590427618802 674774421488 969988230889 1180855237604 1939976461778 2361710475208 3879952923556 4723420950416 6789917616223 7759905847112 13579835232446 15519811694224 27159670464892 54319340929784 108638681859568