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5110454016 = 283219116741
BaseRepresentation
bin1001100001001101…
…10101011100000000
3111012011012221222200
410300212311130000
540431234012031
62203034433200
7240433066563
oct46046653400
914164187880
105110454016
112192799818
12ba7592800
136359c27b5
14366a144da
151ed9c38e6
hex1309b5700

5110454016 has 108 divisors (see below), whose sum is σ = 15510342120. Its totient is φ = 1613813760.

The previous prime is 5110454003. The next prime is 5110454017. The reversal of 5110454016 is 6104540115.

5110454016 is a `hidden beast` number, since 5 + 1 + 104 + 540 + 16 = 666.

It is a super-2 number, since 2×51104540162 = 52233480499301056512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110454017) 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 11 ways as a sum of consecutive naturals, for example, 14595 + ... + 102146.

Almost surely, 25110454016 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 5110454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755171060).

5110454016 is an abundant number, since it is smaller than the sum of its proper divisors (10399888104).

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

5110454016 is a wasteful number, since it uses less digits than its factorization.

5110454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116782 (or 116765 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5110454016 is about 71487.4395680808. The cubic root of 5110454016 is about 1722.4759294273.

The spelling of 5110454016 in words is "five billion, one hundred ten million, four hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 116741 233482 350223 466964 700446 933928 1050669 1400892 1867856 2101338 2218079 2801784 3735712 4202676 4436158 5603568 6654237 7471424 8405352 8872316 11207136 13308474 14942848 16810704 17744632 19962711 22414272 26616948 29885696 33621408 35489264 39925422 44828544 53233896 67242816 70978528 79850844 89657088 106467792 134485632 141957056 159701688 212935584 268971264 283914112 319403376 425871168 567828224 638806752 851742336 1277613504 1703484672 2555227008 5110454016