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109014778152 = 23337181398341
BaseRepresentation
bin110010110000111001…
…0011000000100101000
3101102101102112112002000
41211201302120010220
53241230240400102
6122025233011000
710606326216360
oct1454162300450
9342342475060
10109014778152
1142262000385
12191649b3a60
13a3843653b7
1453c24019a0
152c8088501c
hex1961c98128

109014778152 has 128 divisors (see below), whose sum is σ = 347991571200. Its totient is φ = 30974918400.

The previous prime is 109014778151. The next prime is 109014778183. The reversal of 109014778152 is 251877410901.

It is a happy number.

109014778152 is a `hidden beast` number, since 10 + 90 + 1 + 477 + 81 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 109014778098 and 109014778107.

It is not an unprimeable number, because it can be changed into a prime (109014778151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74502 + ... + 472842.

It is an arithmetic number, because the mean of its divisors is an integer number (2718684150).

Almost surely, 2109014778152 is an apocalyptic number.

109014778152 is a gapful number since it is divisible by the number (12) 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 109014778152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173995785600).

109014778152 is an abundant number, since it is smaller than the sum of its proper divisors (238976793048).

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

109014778152 is a wasteful number, since it uses less digits than its factorization.

109014778152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398544 (or 398534 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 109014778152 in words is "one hundred nine billion, fourteen million, seven hundred seventy-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 504 543 724 756 1086 1267 1448 1512 1629 2172 2534 3258 3801 4344 4887 5068 6516 7602 9774 10136 11403 13032 15204 19548 22806 30408 34209 39096 45612 68418 91224 136836 273672 398341 796682 1195023 1593364 2390046 2788387 3186728 3585069 4780092 5576774 7170138 8365161 9560184 10755207 11153548 14340276 16730322 21510414 22307096 25095483 28680552 33460644 43020828 50190966 66921288 72099721 75286449 86041656 100381932 144199442 150572898 200763864 216299163 288398884 301145796 432598326 504698047 576797768 602291592 648897489 865196652 1009396094 1297794978 1514094141 1730393304 1946692467 2018792188 2595589956 3028188282 3893384934 4037584376 4542282423 5191179912 6056376564 7786769868 9084564846 12112753128 13626847269 15573539736 18169129692 27253694538 36338259384 54507389076 109014778152