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7987222485 = 3451129211293
BaseRepresentation
bin1110111000001001…
…10101011111010101
3202121122100221110000
413130010311133111
5112324212104420
63400321521513
7401634161634
oct73404653725
922548327400
107987222485
113429640520
12166aaa3299
139a39bb268
1455aadd51b
1531b324690
hex1dc1357d5

7987222485 has 160 divisors (see below), whose sum is σ = 16290046080. Its totient is φ = 3708633600.

The previous prime is 7987222459. The next prime is 7987222487. The reversal of 7987222485 is 5842227897.

7987222485 is a `hidden beast` number, since 7 + 98 + 72 + 2 + 2 + 485 = 666.

7987222485 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7987222485 - 29 = 7987221973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987222487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27259999 + ... + 27260291.

It is an arithmetic number, because the mean of its divisors is an integer number (101812788).

Almost surely, 27987222485 is an apocalyptic number.

It is an amenable number.

7987222485 is an abundant number, since it is smaller than the sum of its proper divisors (8302823595).

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

7987222485 is a wasteful number, since it uses less digits than its factorization.

7987222485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7987222485 is about 89371.2620756807. The cubic root of 7987222485 is about 1998.9346396878.

The spelling of 7987222485 in words is "seven billion, nine hundred eighty-seven million, two hundred twenty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 81 87 99 135 145 165 211 261 293 297 319 405 435 495 633 783 879 891 957 1055 1305 1465 1485 1595 1899 2321 2349 2637 2871 3165 3223 3915 4395 4455 4785 5697 6119 6963 7911 8497 8613 9495 9669 11605 11745 13185 14355 16115 17091 18357 20889 23733 25491 25839 28485 29007 30595 34815 39555 42485 43065 48345 55071 61823 62667 67309 76473 85455 87021 91785 93467 104445 118665 127455 129195 145035 165213 185469 188001 201927 229419 261063 275355 280401 309115 313335 336545 382365 435105 467335 495639 556407 605781 680053 688257 826065 841203 927345 940005 1009635 1147095 1305315 1402005 1669221 1792867 1817343 2040159 2478195 2523609 2782035 3028905 3400265 3441285 4206015 5007663 5378601 5452029 6120477 7570827 8346105 8964335 9086715 10200795 12618045 16135803 18361431 19721537 25038315 26893005 27260145 30602385 37854135 48407409 55084293 59164611 80679015 91807155 98607685 145222227 177493833 242037045 275421465 295823055 532481499 726111135 887469165 1597444497 2662407495 7987222485