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2938982816 = 257113732237
BaseRepresentation
bin1010111100101101…
…0101000110100000
321120211012210111102
42233023111012200
522004334422231
61203344333532
7132554641010
oct25713250640
97524183442
102938982816
111278a85320
126a03142a8
1337ab6c5b3
141dc481c40
1512303eacb
hexaf2d51a0

2938982816 has 96 divisors (see below), whose sum is σ = 7409066112. Its totient is φ = 1114076160.

The previous prime is 2938982801. The next prime is 2938982821. The reversal of 2938982816 is 6182898392.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75050 + ... + 107286.

It is an arithmetic number, because the mean of its divisors is an integer number (77177772).

Almost surely, 22938982816 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 2938982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704533056).

2938982816 is an abundant number, since it is smaller than the sum of its proper divisors (4470083296).

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

2938982816 is a wasteful number, since it uses less digits than its factorization.

2938982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32302 (or 32294 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 2938982816 is about 54212.3861861844. The cubic root of 2938982816 is about 1432.4045183251.

The spelling of 2938982816 in words is "two billion, nine hundred thirty-eight million, nine hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 32237 45584 64474 91168 128948 225659 257896 354607 451318 515792 709214 902636 1031584 1192769 1418428 1805272 2385538 2482249 2836856 3610544 4771076 4964498 5673712 7221088 8349383 9542152 9928996 11347424 13120459 16698766 19084304 19857992 26240918 33397532 38168608 39715984 52481836 66795064 79431968 91843213 104963672 133590128 183686426 209927344 267180256 367372852 419854688 734745704 1469491408 2938982816