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2870428416 = 28334710771
BaseRepresentation
bin1010101100010111…
…0100001100000000
321102001012212112120
42223011310030000
521334312202131
61152455124240
7131063144652
oct25305641400
97361185476
102870428416
111243311399
12681373680
133698b8a6b
141d33186d2
1511beec496
hexab174300

2870428416 has 72 divisors (see below), whose sum is σ = 7662252864. Its totient is φ = 953963520.

The previous prime is 2870428369. The next prime is 2870428417. The reversal of 2870428416 is 6148240782.

It is not an unprimeable number, because it can be changed into a prime (2870428417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261111 + ... + 271881.

Almost surely, 22870428416 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 2870428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831126432).

2870428416 is an abundant number, since it is smaller than the sum of its proper divisors (4791824448).

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

2870428416 is a wasteful number, since it uses less digits than its factorization.

2870428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2870428416 is about 53576.3792729595. The cubic root of 2870428416 is about 1421.1794102795.

The spelling of 2870428416 in words is "two billion, eight hundred seventy million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 347 384 694 768 1041 1388 2082 2776 4164 5552 8328 10771 11104 16656 21542 22208 32313 33312 43084 44416 64626 66624 86168 88832 129252 133248 172336 258504 266496 344672 517008 689344 1034016 1378688 2068032 2757376 3737537 4136064 7475074 8272128 11212611 14950148 22425222 29900296 44850444 59800592 89700888 119601184 179401776 239202368 358803552 478404736 717607104 956809472 1435214208 2870428416