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4270871616 = 2631110718899
BaseRepresentation
bin1111111010010000…
…0101010001000000
3102000122101202110020
43332210011101000
532221320342431
61543443333440
7210556544514
oct37644052100
912018352406
104270871616
1118a1883070
129b2381280
13530a9118b
142c7304144
1519ee2d696
hexfe905440

4270871616 has 112 divisors (see below), whose sum is σ = 12443155200. Its totient is φ = 1282040320.

The previous prime is 4270871603. The next prime is 4270871617. The reversal of 4270871616 is 6161780724.

It is not an unprimeable number, because it can be changed into a prime (4270871617) by changing a digit.

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, 216535 + ... + 235433.

It is an arithmetic number, because the mean of its divisors is an integer number (111099600).

Almost surely, 24270871616 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 4270871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221577600).

4270871616 is an abundant number, since it is smaller than the sum of its proper divisors (8172283584).

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

4270871616 is a wasteful number, since it uses less digits than its factorization.

4270871616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19032 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4270871616 is about 65351.9059859772. The cubic root of 4270871616 is about 1622.4531770284.

The spelling of 4270871616 in words is "four billion, two hundred seventy million, eight hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 132 176 192 214 264 321 352 428 528 642 704 856 1056 1177 1284 1712 2112 2354 2568 3424 3531 4708 5136 6848 7062 9416 10272 14124 18832 18899 20544 28248 37664 37798 56496 56697 75328 75596 112992 113394 151192 207889 225984 226788 302384 415778 453576 604768 623667 831556 907152 1209536 1247334 1663112 1814304 2022193 2494668 3326224 3628608 4044386 4989336 6066579 6652448 8088772 9978672 12133158 13304896 16177544 19957344 22244123 24266316 32355088 39914688 44488246 48532632 64710176 66732369 88976492 97065264 129420352 133464738 177952984 194130528 266929476 355905968 388261056 533858952 711811936 1067717904 1423623872 2135435808 4270871616