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2490134496256 = 21011244832
BaseRepresentation
bin100100001111000111100…
…101010000010000000000
322211001110202101001021001
4210033013211100100000
5311244243412340011
65143541344141344
7344622565661011
oct44170745202000
98731422331231
102490134496256
11880073007300
12342731007854
13150a84825b64
1488747761008
1544b9296d7c1
hex243c7950400

2490134496256 has 99 divisors (see below), whose sum is σ = 5472727801023. Its totient is φ = 1131626833920.

The previous prime is 2490134496229. The next prime is 2490134496337. The reversal of 2490134496256 is 6526944310942.

The square root of 2490134496256 is 1578016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2490134496197 and 2490134496206.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 555459391 + ... + 555463873.

Almost surely, 22490134496256 is an apocalyptic number.

2490134496256 is the 1578016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490134496256

2490134496256 is an abundant number, since it is smaller than the sum of its proper divisors (2982593304767).

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

2490134496256 is an frugal number, since it uses more digits than its factorization.

2490134496256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 2490134496256 in words is "two trillion, four hundred ninety billion, one hundred thirty-four million, four hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 4483 5632 7744 8966 11264 15488 17932 30976 35864 49313 61952 71728 98626 123904 143456 197252 286912 394504 542443 573824 789008 1084886 1147648 1578016 2169772 2295296 3156032 4339544 4590592 6312064 8679088 12624128 17358176 20097289 25248256 34716352 40194578 50496512 69432704 80389156 138865408 160778312 221070179 277730816 321556624 442140358 555461632 643113248 884280716 1286226496 1768561432 2431771969 2572452992 3537122864 4863543938 5144905984 7074245728 9727087876 10289811968 14148491456 19454175752 20579623936 28296982912 38908351504 56593965824 77816703008 113187931648 155633406016 226375863296 311266812032 622533624064 1245067248128 2490134496256