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551239427025 = 34527223572
BaseRepresentation
bin10000000010110000110…
…11100010001111010001
31221200211211020022010000
420001120123202033101
533012414243131100
61101122542000213
754553140551100
oct10013033421721
91850754208100
10551239427025
111a2863316401
128aa00b76069
133cc9b907a71
141c9743c8037
15e514200900
hex80586e23d1

551239427025 has 135 divisors (see below), whose sum is σ = 1188298041249. Its totient is φ = 251888253120.

The previous prime is 551239427023. The next prime is 551239427077. The reversal of 551239427025 is 520724932155.

The square root of 551239427025 is 742455.

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

551239427025 is a `hidden beast` number, since 5 + 512 + 3 + 9 + 42 + 70 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120630487761 + 430608939264 = 347319^2 + 656208^2 .

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

It is not a de Polignac number, because 551239427025 - 21 = 551239427023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (551239427023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 233872147 + ... + 233874503.

Almost surely, 2551239427025 is an apocalyptic number.

551239427025 is the 742455-th square number.

551239427025 is the 371228-th centered octagonal number.

It is an amenable number.

551239427025 is an abundant number, since it is smaller than the sum of its proper divisors (637058614224).

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

551239427025 is an frugal number, since it uses more digits than its factorization.

551239427025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 551239427025 in words is "five hundred fifty-one billion, two hundred thirty-nine million, four hundred twenty-seven thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2357 2835 3675 3969 4725 6615 7071 11025 11785 14175 16499 19845 21213 33075 35355 49497 58925 63639 82495 99225 106065 115493 148491 176775 190917 247485 318195 346479 412475 445473 530325 577465 742455 954585 1039437 1237425 1336419 1590975 1732395 2227365 2887325 3118311 3712275 4772925 5197185 5555449 6682095 8661975 9354933 11136825 15591555 16666347 25985925 27777245 33410475 38888143 46774665 49999041 77957775 83331735 116664429 138886225 149997123 194440715 233873325 249995205 272217001 349993287 416658675 449991369 583322145 749985615 816651003 972203575 1049979861 1249976025 1361085005 1749966435 2249956845 2449953009 2916610725 3149939583 3749928075 4083255015 5249899305 6805425025 7349859027 8749832175 11249784225 12249765045 15749697915 20416275075 22049577081 26249496525 36749295135 61248825225 78748489575 110247885405 183746475675 551239427025