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7886234363536 = 242924325632
BaseRepresentation
bin111001011000010100000…
…1100101010011010010000
31000220220202020021021101001
41302300220030222122100
52013202001444113121
624434515215351344
71442522145030634
oct162605014523220
930826666237331
107886234363536
112570595782781
12a744a3b22554
13452890201cc9
141d39a5310dc4
15da21448d991
hex72c2832a690

7886234363536 has 135 divisors (see below), whose sum is σ = 16230030252969. Its totient is φ = 3712004317056.

The previous prime is 7886234363533. The next prime is 7886234363537. The reversal of 7886234363536 is 6353634326887.

The square root of 7886234363536 is 2808244.

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

It can be written as a sum of positive squares in only one way, i.e., 4135350005136 + 3750884358400 = 2033556^2 + 1936720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7886234363531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14007520791 + ... + 14007521353.

Almost surely, 27886234363536 is an apocalyptic number.

7886234363536 is the 2808244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7886234363536

7886234363536 is an abundant number, since it is smaller than the sum of its proper divisors (8343795889433).

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

7886234363536 is an frugal number, since it uses more digits than its factorization.

7886234363536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 637 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 64.

Multiplying 7886234363536 by its sum of digits (64), we get a square (504718999266304 = 224659522).

The spelling of 7886234363536 in words is "seven trillion, eight hundred eighty-six billion, two hundred thirty-four million, three hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 563 688 841 1126 1247 1682 1849 2252 2494 3364 3698 4504 4988 6728 7396 9008 9976 13456 14792 16327 19952 24209 29584 32654 36163 48418 53621 65308 72326 96836 107242 130616 144652 193672 214484 261232 289304 316969 387344 428968 473483 578608 633938 702061 857936 946966 1040987 1267876 1404122 1555009 1893932 2081974 2535752 2808244 3110018 3787864 4163948 5071504 5616488 6220036 7575728 8327896 9192101 11232976 12440072 13629667 16655792 18384202 20359769 24880144 27259334 30188623 36768404 40719538 54518668 60377246 73536808 81439076 109037336 120754492 147073616 162878152 218074672 241508984 266570929 325756304 395260343 483017968 533141858 586075681 790520686 875470067 1066283716 1172151362 1581041372 1750940134 2132567432 2344302724 3162082744 3501880268 4265134864 4688605448 6324165488 7003760536 9377210896 11462549947 14007521072 16996194749 22925099894 33992389498 45850199788 67984778996 91700399576 135969557992 183400799152 271939115984 492889647721 985779295442 1971558590884 3943117181768 7886234363536