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7025986638 = 232111371791447
BaseRepresentation
bin1101000101100100…
…00000110001001110
3200010122122002202100
412202302000301032
5103342123033023
63121103135530
7336052621026
oct64262006116
920118562670
107025986638
112a85a93830
121440ba45a6
1387c804258
144a91a2a86
152b1c4dc43
hex1a2c80c4e

7025986638 has 96 divisors (see below), whose sum is σ = 16833173760. Its totient is φ = 2100286080.

The previous prime is 7025986633. The next prime is 7025986651. The reversal of 7025986638 is 8366895207.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7025986633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4854831 + ... + 4856277.

It is an arithmetic number, because the mean of its divisors is an integer number (175345560).

Almost surely, 27025986638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7025986638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416586880).

7025986638 is an abundant number, since it is smaller than the sum of its proper divisors (9807187122).

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

7025986638 is a wasteful number, since it uses less digits than its factorization.

7025986638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7025986638 is about 83821.1586534092. The cubic root of 7025986638 is about 1915.2954333359.

The spelling of 7025986638 in words is "seven billion, twenty-five million, nine hundred eighty-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 179 198 274 358 411 537 822 1074 1233 1447 1507 1611 1969 2466 2894 3014 3222 3938 4341 4521 5907 8682 9042 11814 13023 13563 15917 17721 24523 26046 27126 31834 35442 47751 49046 73569 95502 143253 147138 198239 220707 259013 269753 286506 396478 441414 518026 539506 594717 777039 809259 1189434 1554078 1618518 1784151 2180629 2331117 2427777 2849143 3568302 4361258 4662234 4855554 5698286 6541887 8547429 13083774 17094858 19625661 25642287 35484781 39251322 51284574 70969562 106454343 212908686 319363029 390332591 638726058 780665182 1170997773 2341995546 3512993319 7025986638