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5554126336 = 29114167359
BaseRepresentation
bin1010010110000110…
…10011111000000000
3112100002001211222211
411023003103320000
542333324020321
62315044111504
7254431203103
oct51303237000
915302054884
105554126336
1123a0183360
1210b0095594
136a68b52b5
143a990673a
152279120e1
hex14b0d3e00

5554126336 has 160 divisors (see below), whose sum is σ = 12621692160. Its totient is φ = 2419507200.

The previous prime is 5554126327. The next prime is 5554126337. The reversal of 5554126336 is 6336214555.

Its product of digits (324000) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5554126337) 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 15 ways as a sum of consecutive naturals, for example, 15470925 + ... + 15471283.

It is an arithmetic number, because the mean of its divisors is an integer number (78885576).

Almost surely, 25554126336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5554126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310846080).

5554126336 is an abundant number, since it is smaller than the sum of its proper divisors (7067565824).

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

5554126336 is a wasteful number, since it uses less digits than its factorization.

5554126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The square root of 5554126336 is about 74526.0111370520. The cubic root of 5554126336 is about 1770.9457250377.

The spelling of 5554126336 in words is "five billion, five hundred fifty-four million, one hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 67 82 88 128 134 164 176 256 268 328 352 359 451 512 536 656 704 718 737 902 1072 1312 1408 1436 1474 1804 2144 2624 2747 2816 2872 2948 3608 3949 4288 5248 5494 5632 5744 5896 7216 7898 8576 10496 10988 11488 11792 14432 14719 15796 17152 20992 21976 22976 23584 24053 28864 29438 30217 31592 34304 43952 45952 47168 48106 57728 58876 60434 63184 87904 91904 94336 96212 115456 117752 120868 126368 161909 175808 183808 188672 192424 230912 235504 241736 252736 264583 323818 351616 377344 384848 471008 483472 505472 529166 647636 703232 769696 942016 966944 986173 1010944 1058332 1295272 1406464 1539392 1884032 1933888 1972346 2021888 2116664 2590544 3078784 3768064 3867776 3944692 4233328 5181088 6157568 7536128 7735552 7889384 8466656 10362176 10847903 12315136 15471104 15778768 16933312 20724352 21695806 31557536 33866624 41448704 43391612 63115072 67733248 82897408 86783224 126230144 135466496 173566448 252460288 347132896 504920576 694265792 1388531584 2777063168 5554126336