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1485973190025 = 345210322632
BaseRepresentation
bin10101100111111010111…
…001110111010110001001
312021001120000201100210000
4111213322321313112021
5143321233114040100
63054351402313213
7212233541465562
oct25477271672611
95231500640700
101485973190025
1152321a143455
121bbba94b8809
13aa1853ab74c
1451cc87b5169
15289c0c1c900
hex159fae77589

1485973190025 has 135 divisors (see below), whose sum is σ = 2790127819479. Its totient is φ = 781840550880.

The previous prime is 1485973189963. The next prime is 1485973190077. The reversal of 1485973190025 is 5200913795841.

It is a happy number.

The square root of 1485973190025 is 1219005.

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

1485973190025 is a `hidden beast` number, since 1 + 48 + 597 + 3 + 1 + 9 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 534950348409 + 951022841616 = 731403^2 + 975204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1485973190025 - 217 = 1485973058953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5650088044 + ... + 5650088306.

Almost surely, 21485973190025 is an apocalyptic number.

1485973190025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1485973190025 is the 1219005-th square number.

1485973190025 is the 609503-rd centered octagonal number.

It is an amenable number.

1485973190025 is a deficient number, since it is larger than the sum of its proper divisors (1304154629454).

1485973190025 is an frugal number, since it uses more digits than its factorization.

1485973190025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1485973190025 in words is "one trillion, four hundred eighty-five billion, nine hundred seventy-three million, one hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 103 135 225 263 309 405 515 675 789 927 1315 1545 2025 2367 2575 2781 3945 4635 6575 7101 7725 8343 10609 11835 13905 19725 21303 23175 27089 31827 35505 41715 53045 59175 69169 69525 81267 95481 106515 135445 159135 177525 207507 208575 243801 265225 286443 345845 406335 477405 532575 622521 677225 731403 795675 859329 1037535 1219005 1432215 1729225 1867563 2031675 2194209 2387025 2790167 3112605 3657015 4296645 5187675 5602689 6095025 7124407 7161075 8370501 9337815 10971045 13950835 15563025 18285075 21373221 21483225 25111503 28013445 35622035 41852505 46689075 54855225 64119663 69754175 75334509 106866105 125557515 140067225 178110175 192358989 209262525 226003527 320598315 376672545 534330525 577076967 627787575 733813921 961794945 1130017635 1602991575 1883362725 2201441763 2885384835 3669069605 4808974725 5650088175 6604325289 11007208815 14426924175 18345348025 19812975867 33021626445 55036044075 59438927601 99064879335 165108132225 297194638005 495324396675 1485973190025