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152152892925 = 352112971271361
BaseRepresentation
bin1000110110110100000…
…1001110010111111101
3112112201210111210202120
42031231001032113331
54443102120033200
6153521552313153
713664330152005
oct2155501162775
9475653453676
10152152892925
1159589383500
12255a38427b9
131146a5c93b7
147515689005
153e57ae39a0
hex236d04e5fd

152152892925 has 144 divisors (see below), whose sum is σ = 281764632576. Its totient is φ = 72382464000.

The previous prime is 152152892917. The next prime is 152152892939. The reversal of 152152892925 is 529298251251.

It is a happy number.

It is not a de Polignac number, because 152152892925 - 23 = 152152892917 is a prime.

Its product of digits (1296000) is a multiple of the sum of its prime factors (1620).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111794245 + ... + 111795605.

Almost surely, 2152152892925 is an apocalyptic number.

152152892925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152152892925 is a deficient number, since it is larger than the sum of its proper divisors (129611739651).

152152892925 is a wasteful number, since it uses less digits than its factorization.

152152892925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1604 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 51.

The spelling of 152152892925 in words is "one hundred fifty-two billion, one hundred fifty-two million, eight hundred ninety-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 97 121 127 165 275 291 363 381 485 605 635 825 1067 1361 1397 1455 1815 1905 2425 3025 3175 3201 4083 4191 5335 6805 6985 7275 9075 9525 11737 12319 14971 15367 16005 20415 20955 26675 34025 34925 35211 36957 44913 46101 58685 61595 74855 76835 80025 102075 104775 132017 135509 164681 172847 176055 184785 224565 230505 293425 307975 374275 384175 396051 406527 494043 518541 660085 677545 823405 864235 880275 923925 1122825 1152525 1452187 1490599 1901317 1980255 2032635 2470215 2592705 3300425 3387725 4117025 4321175 4356561 4471797 5703951 7260935 7452995 9506585 9901275 10163175 12351075 12963525 15974057 16766159 20914487 21782805 22358985 28519755 36304675 37264975 47532925 47922171 50298477 62743461 79870285 83830795 104572435 108914025 111794925 142598775 184427749 239610855 251492385 313717305 399351425 419153975 522862175 553283247 922138745 1198054275 1257461925 1568586525 2028705239 2766416235 4610693725 6086115717 10143526195 13832081175 30430578585 50717630975 152152892925