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55533750336 = 263610912
BaseRepresentation
bin110011101110000100…
…011100100001000000
312022100020112211000000
4303232010130201000
51402213120002321
641302321000000
74004115042441
oct635604344100
9168306484000
1055533750336
1121608399639
12a91a183000
13531036c6cc
14298b6512c8
1516a05ce826
hexcee11c840

55533750336 has 147 divisors (see below), whose sum is σ = 165375677503. Its totient is φ = 18494282880.

The previous prime is 55533750323. The next prime is 55533750343. The reversal of 55533750336 is 63305733555.

The square root of 55533750336 is 235656.

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

It is a super-2 number, since 2×555337503362 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55533750291 and 55533750300.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 50901151 + ... + 50902241.

Almost surely, 255533750336 is an apocalyptic number.

55533750336 is the 235656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55533750336

55533750336 is an abundant number, since it is smaller than the sum of its proper divisors (109841927167).

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

55533750336 is an frugal number, since it uses more digits than its factorization.

55533750336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 2126250, while the sum is 45.

The spelling of 55533750336 in words is "fifty-five billion, five hundred thirty-three million, seven hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1091 1296 1458 1728 1944 2182 2592 2916 3273 3888 4364 5184 5832 6546 7776 8728 9819 11664 13092 15552 17456 19638 23328 26184 29457 34912 39276 46656 52368 58914 69824 78552 88371 104736 117828 157104 176742 209472 235656 265113 314208 353484 471312 530226 628416 706968 795339 942624 1060452 1190281 1413936 1590678 1885248 2120904 2380562 2827872 3181356 3570843 4241808 4761124 5655744 6362712 7141686 8483616 9522248 10712529 12725424 14283372 16967232 19044496 21425058 25450848 28566744 32137587 38088992 42850116 50901696 57133488 64275174 76177984 85700232 96412761 114266976 128550348 171400464 192825522 228533952 257100696 289238283 342800928 385651044 514201392 578476566 685601856 771302088 867714849 1028402784 1156953132 1542604176 1735429698 2056805568 2313906264 3085208352 3470859396 4627812528 6170416704 6941718792 9255625056 13883437584 18511250112 27766875168 55533750336