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108149089248 = 2533641195277
BaseRepresentation
bin110010010111000110…
…0000010001111100000
3101100011002120222011000
41210232030002033200
53232442131323443
6121403310152000
710546015043124
oct1445614021740
9340132528130
10108149089248
1141958383502
1218b62ab2600
13a276bc3045
14533d457584
152c2e8848d3
hex192e3023e0

108149089248 has 96 divisors (see below), whose sum is σ = 315928559520. Its totient is φ = 35993272320.

The previous prime is 108149089219. The next prime is 108149089271. The reversal of 108149089248 is 842980941801.

It is a happy number.

108149089248 is a `hidden beast` number, since 108 + 1 + 490 + 8 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 108149089194 and 108149089203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456186 + ... + 651462.

It is an arithmetic number, because the mean of its divisors is an integer number (3290922495).

Almost surely, 2108149089248 is an apocalyptic number.

108149089248 is a gapful number since it is divisible by the number (18) 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 108149089248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157964279760).

108149089248 is an abundant number, since it is smaller than the sum of its proper divisors (207779470272).

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

108149089248 is a wasteful number, since it uses less digits than its factorization.

108149089248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195937 (or 195923 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 108149089248 in words is "one hundred eight billion, one hundred forty-nine million, eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 641 864 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 17307 20512 23076 30768 34614 46152 61536 69228 92304 138456 184608 195277 276912 390554 553824 585831 781108 1171662 1562216 1757493 2343324 3124432 3514986 4686648 5272479 6248864 7029972 9373296 10544958 14059944 18746592 21089916 28119888 42179832 56239776 84359664 125172557 168719328 250345114 375517671 500690228 751035342 1001380456 1126553013 1502070684 2002760912 2253106026 3004141368 3379659039 4005521824 4506212052 6008282736 6759318078 9012424104 12016565472 13518636156 18024848208 27037272312 36049696416 54074544624 108149089248