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3055009152 = 273135631087
BaseRepresentation
bin1011011000010111…
…1011110110000000
321212220112112201010
42312011323312000
522224040243102
61223051240520
7135464102136
oct26605736600
97786475633
103055009152
111328522658
12713149140
13398c04930
1420da45756
1512d30cd6c
hexb617bd80

3055009152 has 128 divisors (see below), whose sum is σ = 8762664960. Its totient is φ = 937469952.

The previous prime is 3055009151. The next prime is 3055009171. The reversal of 3055009152 is 2519005503.

3055009152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055009151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2809953 + ... + 2811039.

It is an arithmetic number, because the mean of its divisors is an integer number (68458320).

Almost surely, 23055009152 is an apocalyptic number.

3055009152 is a gapful number since it is divisible by the number (32) 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 3055009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381332480).

3055009152 is an abundant number, since it is smaller than the sum of its proper divisors (5707655808).

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

3055009152 is a wasteful number, since it uses less digits than its factorization.

3055009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 3055009152 is about 55272.1372121614. The cubic root of 3055009152 is about 1451.0114468185.

The spelling of 3055009152 in words is "three billion, fifty-five million, nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 563 624 832 1087 1126 1248 1664 1689 2174 2252 2496 3261 3378 4348 4504 4992 6522 6756 7319 8696 9008 13044 13512 14131 14638 17392 18016 21957 26088 27024 28262 29276 34784 36032 42393 43914 52176 54048 56524 58552 69568 72064 84786 87828 104352 108096 113048 117104 139136 169572 175656 208704 216192 226096 234208 339144 351312 417408 452192 468416 611981 678288 702624 904384 936832 1223962 1356576 1405248 1808768 1835943 2447924 2713152 2810496 3671886 4895848 5426304 7343772 7955753 9791696 14687544 15911506 19583392 23867259 29375088 31823012 39166784 47734518 58750176 63646024 78333568 95469036 117500352 127292048 190938072 235000704 254584096 381876144 509168192 763752288 1018336384 1527504576 3055009152