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119692242756025 = 5229219723832
BaseRepresentation
bin11011001101110000000101…
…100111001010000110111001
3120200210110121012020011221221
4123031300011213022012321
5111142014203121143100
61102321505055032041
734132323232603042
oct3315600547120671
9520713535204857
10119692242756025
1135157216735785
12115111a9b0b621
1351a2c12462394
14217b1c79b58c9
15dc870ae4e01a
hex6cdc059ca1b9

119692242756025 has 81 divisors (see below), whose sum is σ = 154901402673511. Its totient is φ = 91742476497280.

The previous prime is 119692242755863. The next prime is 119692242756061. The reversal of 119692242756025 is 520657242296911.

It is a happy number.

The square root of 119692242756025 is 10940395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7918038837801 + 111774203918224 = 2813901^2 + 10572332^2 .

It is a de Polignac number, because none of the positive numbers 2k-119692242756025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 312512382984 + ... + 312512383366.

Almost surely, 2119692242756025 is an apocalyptic number.

119692242756025 is the 10940395-th square number.

119692242756025 is the 5470198-th centered octagonal number.

It is an amenable number.

119692242756025 is a deficient number, since it is larger than the sum of its proper divisors (35209159917486).

119692242756025 is an frugal number, since it uses more digits than its factorization.

119692242756025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 119692242756025 in words is "one hundred nineteen trillion, six hundred ninety-two billion, two hundred forty-two million, seven hundred fifty-six thousand, twenty-five".

Divisors: 1 5 25 29 145 197 383 725 841 985 1915 4205 4925 5713 9575 11107 21025 28565 38809 55535 75451 142825 146689 165677 194045 277675 322103 377255 733445 828385 970225 1125461 1610515 1886275 2188079 3667225 4141925 4253981 5627305 8052575 10940395 14863847 21269905 28136525 28897733 32638369 54701975 63454291 74319235 106349525 123365449 144488665 163191845 317271455 371596175 431051563 616827245 722443325 815959225 838034257 1586357275 2155257815 3084136225 4190171285 5692853401 10776289075 12500495327 20950856425 24302993453 28464267005 62502476635 121514967265 142321335025 165092748629 312512383175 607574836325 825463743145 4127318715725 4787689710241 23938448551205 119692242756025