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5520801006 = 2327193762327
BaseRepresentation
bin1010010010001000…
…01011110011101110
3112020202100202020100
411021010023303232
542301311113011
62311453531530
7253545014520
oct51104136356
915222322210
105520801006
112383391566
1210a0aa3ba6
1369ca17876
143a530da10
15224a2cd56
hex14910bcee

5520801006 has 96 divisors (see below), whose sum is σ = 14779215360. Its totient is φ = 1453940928.

The previous prime is 5520800981. The next prime is 5520801023. The reversal of 5520801006 is 6001080255.

5520801006 is a `hidden beast` number, since 552 + 0 + 8 + 0 + 100 + 6 = 666.

It is a super-2 number, since 2×55208010062 = 60958487495701224072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57415 + ... + 119741.

It is an arithmetic number, because the mean of its divisors is an integer number (153950160).

Almost surely, 25520801006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5520801006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389607680).

5520801006 is an abundant number, since it is smaller than the sum of its proper divisors (9258414354).

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

5520801006 is a wasteful number, since it uses less digits than its factorization.

5520801006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62398 (or 62395 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5520801006 is about 74302.0928776572. The cubic root of 5520801006 is about 1767.3966650601.

The spelling of 5520801006 in words is "five billion, five hundred twenty million, eight hundred one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 703 777 798 1197 1406 1554 2109 2331 2394 4218 4662 4921 6327 9842 12654 14763 29526 44289 62327 88578 124654 186981 373962 436289 560943 872578 1121886 1184213 1308867 2306099 2368426 2617734 3552639 3926601 4612198 6918297 7105278 7853202 8289491 10657917 13836594 16142693 16578982 20754891 21315834 24868473 32285386 41509782 43815881 48428079 49736946 74605419 87631762 96856158 131447643 145284237 149210838 262895286 290568474 306711167 394342929 613422334 788685858 920133501 1840267002 2760400503 5520801006