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108327154909568 = 2772333115880841
BaseRepresentation
bin11000101000010111100001…
…100101101000000110000000
3112012112222022200101021220112
4120220113201211220012000
5103144313003124101233
61022220450303530452
731550243612045540
oct3050274145500600
9465488280337815
10108327154909568
1131575319955131
1210196640bb9a28
13485a28c67701a
141ca70c2c3b320
15c7cc87d78048
hex6285e1968180

108327154909568 has 128 divisors (see below), whose sum is σ = 258138640074240. Its totient is φ = 44273240985600.

The previous prime is 108327154909559. The next prime is 108327154909583. The reversal of 108327154909568 is 865909451723801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 108327154909498 and 108327154909507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119173 + ... + 14761668.

It is an arithmetic number, because the mean of its divisors is an integer number (2016708125580).

It is a 1-persistent number, because it is pandigital, but 2⋅108327154909568 = 216654309819136 is not.

Almost surely, 2108327154909568 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 108327154909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129069320037120).

108327154909568 is an abundant number, since it is smaller than the sum of its proper divisors (149811485164672).

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

108327154909568 is a wasteful number, since it uses less digits than its factorization.

108327154909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881216 (or 15881204 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 68.

The spelling of 108327154909568 in words is "one hundred eight trillion, three hundred twenty-seven billion, one hundred fifty-four million, nine hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 331 368 448 644 662 736 896 1288 1324 1472 2317 2576 2648 2944 4634 5152 5296 7613 9268 10304 10592 15226 18536 20608 21184 30452 37072 42368 53291 60904 74144 106582 121808 148288 213164 243616 296576 426328 487232 852656 974464 1705312 3410624 6821248 15880841 31761682 63523364 111165887 127046728 222331774 254093456 365259343 444663548 508186912 730518686 889327096 1016373824 1461037372 1778654192 2032747648 2556815401 2922074744 3557308384 5113630802 5256558371 5844149488 7114616768 10227261604 10513116742 11688298976 14229233536 20454523208 21026233484 23376597952 36795908597 40909046416 42052466968 46753195904 73591817194 81818092832 84104933936 120900842533 147183634388 163636185664 168209867872 241801685066 294367268776 327272371328 336419735744 483603370132 588734537552 672839471488 846305897731 967206740264 1177469075104 1692611795462 1934413480528 2354938150208 3385223590924 3868826961056 4709876300416 6770447181848 7737653922112 13540894363696 15475307844224 27081788727392 54163577454784 108327154909568