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109760098976 = 2511228347133
BaseRepresentation
bin110011000111000110…
…1100011001010100000
3101111022100222202000222
41212032031203022200
53244242041131401
6122231215502212
710633646306363
oct1461615431240
9344270882028
10109760098976
1142604794a00
1219332527968
13a4728b2138
1454533b60da
152cc600ac1b
hex198e3632a0

109760098976 has 36 divisors (see below), whose sum is σ = 237520635786. Its totient is φ = 49890952320.

The previous prime is 109760098949. The next prime is 109760098979. The reversal of 109760098976 is 679890067901.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 71920512400 + 37839586576 = 268180^2 + 194524^2 .

It is not an unprimeable number, because it can be changed into a prime (109760098979) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14169695 + ... + 14177438.

Almost surely, 2109760098976 is an apocalyptic number.

109760098976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109760098976 is an abundant number, since it is smaller than the sum of its proper divisors (127760536810).

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

109760098976 is a wasteful number, since it uses less digits than its factorization.

109760098976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28347165 (or 28347146 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 62.

The spelling of 109760098976 in words is "one hundred nine billion, seven hundred sixty million, ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 28347133 56694266 113388532 226777064 311818463 453554128 623636926 907108256 1247273852 2494547704 3430003093 4989095408 6860006186 9978190816 13720012372 27440024744 54880049488 109760098976