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119538000756 = 223219289103349
BaseRepresentation
bin110111101010100000…
…1010010001101110100
3102102112210211121200100
41233111001102031310
53424303212011011
6130525350114100
711431156145556
oct1572501221564
9372483747610
10119538000756
11467720a3269
121b20104b930
13b370578b35
145addc434d6
153199646d56
hex1bd5052374

119538000756 has 108 divisors (see below), whose sum is σ = 322492306500. Its totient is φ = 37324336896.

The previous prime is 119538000727. The next prime is 119538000773. The reversal of 119538000756 is 657000835911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19027443600 + 100510557156 = 137940^2 + 317034^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104970 + ... + 1208318.

It is an arithmetic number, because the mean of its divisors is an integer number (2986039875).

Almost surely, 2119538000756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119538000756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161246153250).

119538000756 is an abundant number, since it is smaller than the sum of its proper divisors (202954305744).

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

119538000756 is a wasteful number, since it uses less digits than its factorization.

119538000756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103486 (or 103462 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 119538000756 in words is "one hundred nineteen billion, five hundred thirty-eight million, seven hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 361 534 684 722 801 1068 1083 1444 1602 1691 2166 3204 3249 3382 4332 5073 6498 6764 10146 12996 15219 20292 30438 32129 60876 64258 96387 103349 128516 192774 206698 289161 310047 385548 413396 578322 620094 930141 1156644 1240188 1860282 1963631 3720564 3927262 5890893 7854524 9198061 11781786 17672679 18396122 23563572 27594183 35345358 36792244 37308989 55188366 70690716 74617978 82782549 110376732 111926967 149235956 165565098 174763159 223853934 331130196 335780901 349526318 447707868 524289477 671561802 699052636 1048578954 1343123604 1572868431 2097157908 3145736862 3320500021 6291473724 6641000042 9961500063 13282000084 19923000126 29884500189 39846000252 59769000378 119538000756