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155082378025 = 521724121132
BaseRepresentation
bin1001000001101110100…
…0010100101100101001
3112211021221212001211201
42100123220110230221
510020102042044100
6155124401324201
714130041314621
oct2203350245451
9484257761751
10155082378025
115a851a60a73
1226080936661
13118164c1933
147712777881
154079da936a
hex241ba14b29

155082378025 has 81 divisors (see below), whose sum is σ = 211252741453. Its totient is φ = 112911769600.

The previous prime is 155082378023. The next prime is 155082378043. The reversal of 155082378025 is 520873280551.

The square root of 155082378025 is 393805.

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

It can be written as a sum of positive squares in 40 ways, for example, as 36694084249 + 118388293776 = 191557^2 + 344076^2 .

It is not a de Polignac number, because 155082378025 - 21 = 155082378023 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155082378023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1372410369 + ... + 1372410481.

Almost surely, 2155082378025 is an apocalyptic number.

155082378025 is the 393805-th square number.

155082378025 is the 196903-rd centered octagonal number.

It is an amenable number.

155082378025 is a deficient number, since it is larger than the sum of its proper divisors (56170363428).

155082378025 is an equidigital number, since it uses as much as digits as its factorization.

155082378025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 155082378025 in words is "one hundred fifty-five billion, eighty-two million, three hundred seventy-eight thousand, twenty-five".

Divisors: 1 5 17 25 41 85 113 205 289 425 565 697 1025 1445 1681 1921 2825 3485 4633 7225 8405 9605 11849 12769 17425 23165 28577 32657 42025 48025 59245 63845 78761 115825 142885 163285 189953 217073 296225 319225 393805 485809 523529 714425 816425 949765 1085365 1338937 1969025 2429045 2617645 3229201 3690241 4748825 5426825 6694685 8899993 12145225 13088225 16146005 18451205 21464689 33473425 44499965 54896417 80730025 92256025 107323445 151299881 222499825 274482085 364899713 536617225 756499405 1372410425 1824498565 3782497025 6203295121 9122492825 31016475605 155082378025