Search a number
-
+
2620422544464 = 243348409125303
BaseRepresentation
bin100110001000011101010…
…110101101110001010000
3100021111202202022122202000
4212020131112231301100
5320413111132410324
65323445553154000
7360214341056034
oct46103526556120
910244682278660
102620422544464
119203512372aa
12363a3225b900
131601492a23ca
1490b871ac1c4
154826ac2e9c9
hex2621d5adc50

2620422544464 has 80 divisors (see below), whose sum is σ = 7521798633600. Its totient is φ = 873449167104.

The previous prime is 2620422544417. The next prime is 2620422544511. The reversal of 2620422544464 is 4644452240262.

It is a happy number.

2620422544464 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 42 + 2 + 544 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2620422544417) and next prime (2620422544511).

It is a super-2 number, since 2×26204225444642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20850037 + ... + 20975339.

It is an arithmetic number, because the mean of its divisors is an integer number (94022482920).

Almost surely, 22620422544464 is an apocalyptic number.

2620422544464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2620422544464 is an abundant number, since it is smaller than the sum of its proper divisors (4901376089136).

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

2620422544464 is a wasteful number, since it uses less digits than its factorization.

2620422544464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173729 (or 173717 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 2620422544464 in words is "two trillion, six hundred twenty billion, four hundred twenty-two million, five hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 48409 96818 125303 145227 193636 250606 290454 375909 387272 435681 501212 580908 751818 774544 871362 1002424 1127727 1161816 1307043 1503636 1742724 2004848 2255454 2323632 2614086 3007272 3383181 3485448 4510908 5228172 6014544 6766362 6970896 9021816 10456344 13532724 18043632 20912688 27065448 54130896 6065792927 12131585854 18197378781 24263171708 36394757562 48526343416 54592136343 72789515124 97052686832 109184272686 145579030248 163776409029 218368545372 291158060496 327552818058 436737090744 655105636116 873474181488 1310211272232 2620422544464