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5520017152 = 281313712107
BaseRepresentation
bin1010010010000010…
…01100011100000000
3112020200212220222201
411021001030130000
542301111022102
62311425042544
7253535241316
oct51101143400
915220786881
105520017152
1123829a6651
1210a0786454
1369c801b50
143a51880b6
15224925987
hex14904c700

5520017152 has 72 divisors (see below), whose sum is σ = 11953647216. Its totient is φ = 2528894976.

The previous prime is 5520017149. The next prime is 5520017171. The reversal of 5520017152 is 2517100255.

It is a super-2 number, since 2×55200171522 = 60941178716748382208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5520017152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449883 + ... + 461989.

It is an arithmetic number, because the mean of its divisors is an integer number (166022878).

Almost surely, 25520017152 is an apocalyptic number.

5520017152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5520017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976823608).

5520017152 is an abundant number, since it is smaller than the sum of its proper divisors (6433630064).

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

5520017152 is a wasteful number, since it uses less digits than its factorization.

5520017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12273 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 5520017152 is about 74296.8179130170. The cubic root of 5520017152 is about 1767.3130149693.

It can be divided in two parts, 552001 and 7152, that added together give a triangular number (559153 = T1057).

The spelling of 5520017152 in words is "five billion, five hundred twenty million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 416 548 832 1096 1664 1781 2192 3328 3562 4384 7124 8768 12107 14248 17536 24214 28496 35072 48428 56992 96856 113984 157391 193712 227968 314782 387424 455936 629564 774848 1259128 1549696 1658659 2518256 3099392 3317318 5036512 6634636 10073024 13269272 20146048 21562567 26538544 40292096 43125134 53077088 86250268 106154176 172500536 212308352 345001072 424616704 690002144 1380004288 2760008576 5520017152