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4930331680 = 255671932383
BaseRepresentation
bin1001001011101111…
…01110010000100000
3110201121021210121001
410211313232100200
540044131103210
62133122041344
7233115061561
oct44567562040
913647253531
104930331680
11210005318a
12b571a9254
136075a8031
1434ab28168
151dcc9403a
hex125dee420

4930331680 has 96 divisors (see below), whose sum is σ = 11887997184. Its totient is φ = 1931821056.

The previous prime is 4930331677. The next prime is 4930331683. The reversal of 4930331680 is 861330394.

It is an interprime number because it is at equal distance from previous prime (4930331677) and next prime (4930331683).

It is not an unprimeable number, because it can be changed into a prime (4930331683) 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, 2067769 + ... + 2070151.

It is an arithmetic number, because the mean of its divisors is an integer number (123833304).

Almost surely, 24930331680 is an apocalyptic number.

4930331680 is a gapful number since it is divisible by the number (40) 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 4930331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943998592).

4930331680 is an abundant number, since it is smaller than the sum of its proper divisors (6957665504).

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

4930331680 is a wasteful number, since it uses less digits than its factorization.

4930331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 4930331680 is about 70216.3206099551. The cubic root of 4930331680 is about 1701.9966942815.

It can be divided in two parts, 4930 and 331680, that added together give a triangular number (336610 = T820).

The spelling of 4930331680 in words is "four billion, nine hundred thirty million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 193 268 335 386 536 670 772 965 1072 1340 1544 1930 2144 2383 2680 3088 3860 4766 5360 6176 7720 9532 10720 11915 12931 15440 19064 23830 25862 30880 38128 47660 51724 64655 76256 95320 103448 129310 159661 190640 206896 258620 319322 381280 413792 459919 517240 638644 798305 919838 1034480 1277288 1596610 1839676 2068960 2299595 2554576 3193220 3679352 4599190 5109152 6386440 7358704 9198380 12772880 14717408 18396760 25545760 30814573 36793520 61629146 73587040 123258292 154072865 246516584 308145730 493033168 616291460 986066336 1232582920 2465165840 4930331680