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5476762980 = 22325134615077
BaseRepresentation
bin1010001100111000…
…01100010101100100
3112010200111101102100
411012130030111210
542204022403410
62303242012100
7252501501003
oct50634142544
915120441370
105476762980
1123605430a7
12108a1a7030
13693869070
1439d528c3a
15220c2e8c0
hex14670c564

5476762980 has 144 divisors (see below), whose sum is σ = 17933099184. Its totient is φ = 1344936960.

The previous prime is 5476762957. The next prime is 5476762987. The reversal of 5476762980 is 892676745.

5476762980 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 7 + 629 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13483584 + 5463279396 = 3672^2 + 73914^2 .

It is not an unprimeable number, because it can be changed into a prime (5476762987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076202 + ... + 1081278.

It is an arithmetic number, because the mean of its divisors is an integer number (124535411).

Almost surely, 25476762980 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 5476762980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966549592).

5476762980 is an abundant number, since it is smaller than the sum of its proper divisors (12456336204).

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

5476762980 is a wasteful number, since it uses less digits than its factorization.

5476762980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5476762980 is about 74005.1550907097. The cubic root of 5476762980 is about 1762.6847562469.

The spelling of 5476762980 in words is "five billion, four hundred seventy-six million, seven hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 461 468 585 780 922 1170 1383 1844 2305 2340 2766 4149 4610 5077 5532 5993 6915 8298 9220 10154 11986 13830 15231 16596 17979 20308 20745 23972 25385 27660 29965 30462 35958 41490 45693 50770 53937 59930 60924 66001 71916 76155 82980 89895 91386 101540 107874 119860 132002 152310 179790 182772 198003 215748 228465 264004 269685 304620 330005 359580 396006 456930 539370 594009 660010 792012 913860 990015 1078740 1188018 1320020 1980030 2340497 2376036 2970045 3960060 4680994 5940090 7021491 9361988 11702485 11880180 14042982 21064473 23404970 28085964 30426461 35107455 42128946 46809940 60852922 70214910 84257892 91279383 105322365 121705844 140429820 152132305 182558766 210644730 273838149 304264610 365117532 421289460 456396915 547676298 608529220 912793830 1095352596 1369190745 1825587660 2738381490 5476762980