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2868707712 = 273135091129
BaseRepresentation
bin1010101011111101…
…0000000110000000
321101220222110011210
42222333100012000
521333342121322
61152354210120
7131042420223
oct25277200600
97356873153
102868707712
111242346622
12680883940
133694357b0
141d2dcb5ba
1511bcac70c
hexaafd0180

2868707712 has 128 divisors (see below), whose sum is σ = 8229564000. Its totient is φ = 880164864.

The previous prime is 2868707707. The next prime is 2868707731. The reversal of 2868707712 is 2177078682.

It is a happy number.

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

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 2540364 + ... + 2541492.

Almost surely, 22868707712 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 2868707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114782000).

2868707712 is an abundant number, since it is smaller than the sum of its proper divisors (5360856288).

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

2868707712 is a wasteful number, since it uses less digits than its factorization.

2868707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 2868707712 is about 53560.3184456553. The cubic root of 2868707712 is about 1420.8953739443.

The spelling of 2868707712 in words is "two billion, eight hundred sixty-eight million, seven hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 509 624 832 1018 1129 1248 1527 1664 2036 2258 2496 3054 3387 4072 4516 4992 6108 6617 6774 8144 9032 12216 13234 13548 14677 16288 18064 19851 24432 26468 27096 29354 32576 36128 39702 44031 48864 52936 54192 58708 65152 72256 79404 88062 97728 105872 108384 117416 144512 158808 176124 195456 211744 216768 234832 317616 352248 423488 433536 469664 574661 635232 704496 846976 939328 1149322 1270464 1408992 1723983 1878656 2298644 2540928 2817984 3447966 4597288 5635968 6895932 7470593 9194576 13791864 14941186 18389152 22411779 27583728 29882372 36778304 44823558 55167456 59764744 73556608 89647116 110334912 119529488 179294232 220669824 239058976 358588464 478117952 717176928 956235904 1434353856 2868707712