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107023195368 = 23327949138321
BaseRepresentation
bin110001110101100010…
…1000101110011101000
3101020020122000122002200
41203223011011303220
53223140414222433
6121055450300200
710506064102515
oct1435305056350
9336218018080
10107023195368
114142a8927a1
12188a9a27660
13a12787734b
145273ad830c
152bb5ad6613
hex18eb145ce8

107023195368 has 96 divisors (see below), whose sum is σ = 294129014400. Its totient is φ = 35150169600.

The previous prime is 107023195339. The next prime is 107023195373. The reversal of 107023195368 is 863591320701.

107023195368 is a `hidden beast` number, since 10 + 70 + 2 + 31 + 9 + 536 + 8 = 666.

It is a super-2 number, since 2×1070231953682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773648 + ... + 2811968.

It is an arithmetic number, because the mean of its divisors is an integer number (3063843900).

Almost surely, 2107023195368 is an apocalyptic number.

107023195368 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 107023195368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147064507200).

107023195368 is an abundant number, since it is smaller than the sum of its proper divisors (187105819032).

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

107023195368 is a wasteful number, since it uses less digits than its factorization.

107023195368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38903 (or 38896 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 107023195368 in words is "one hundred seven billion, twenty-three million, one hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 491 632 711 948 982 1422 1473 1896 1964 2844 2946 3928 4419 5688 5892 8838 11784 17676 35352 38321 38789 76642 77578 114963 116367 153284 155156 229926 232734 306568 310312 344889 349101 459852 465468 689778 698202 919704 930936 1379556 1396404 2759112 2792808 3027359 6054718 9082077 12109436 18164154 18815611 24218872 27246231 36328308 37631222 54492462 56446833 72656616 75262444 108984924 112893666 150524888 169340499 217969848 225787332 338680998 451574664 677361996 1354723992 1486433269 2972866538 4459299807 5945733076 8918599614 11891466152 13377899421 17837199228 26755798842 35674398456 53511597684 107023195368