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108048748896 = 253211191178567
BaseRepresentation
bin110010010100000110…
…1010001000101100000
3101022220002210011001200
41210220031101011200
53232240434431041
6121345323401200
710543356132504
oct1445015210540
9338802704050
10108048748896
114190677a2a0
1218b35383200
13a25c19065a
14532ddb8304
152c25b641b6
hex1928351160

108048748896 has 144 divisors (see below), whose sum is σ = 336953530368. Its totient is φ = 32570438400.

The previous prime is 108048748879. The next prime is 108048748933. The reversal of 108048748896 is 698847840801.

108048748896 is a `hidden beast` number, since 108 + 0 + 48 + 7 + 488 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1080487488962 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515805 + ... + 694371.

It is an arithmetic number, because the mean of its divisors is an integer number (2339955072).

Almost surely, 2108048748896 is an apocalyptic number.

108048748896 is a gapful number since it is divisible by the number (16) 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 108048748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168476765184).

108048748896 is an abundant number, since it is smaller than the sum of its proper divisors (228904781472).

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

108048748896 is a wasteful number, since it uses less digits than its factorization.

108048748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178785 (or 178774 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 108048748896 in words is "one hundred eight billion, forty-eight million, seven hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 191 198 264 288 352 382 396 528 573 764 792 1056 1146 1528 1584 1719 2101 2292 3056 3168 3438 4202 4584 6112 6303 6876 8404 9168 12606 13752 16808 18336 18909 25212 27504 33616 37818 50424 55008 67232 75636 100848 151272 178567 201696 302544 357134 535701 605088 714268 1071402 1428536 1607103 1964237 2142804 2857072 3214206 3928474 4285608 5714144 5892711 6428412 7856948 8571216 11785422 12856824 15713896 17142432 17678133 23570844 25713648 31427792 34106297 35356266 47141688 51427296 62855584 68212594 70712532 94283376 102318891 136425188 141425064 188566752 204637782 272850376 282850128 306956673 375169267 409275564 545700752 565700256 613913346 750338534 818551128 1091401504 1125507801 1227826692 1500677068 1637102256 2251015602 2455653384 3001354136 3274204512 3376523403 4502031204 4911306768 6002708272 6753046806 9004062408 9822613536 12005416544 13506093612 18008124816 27012187224 36016249632 54024374448 108048748896