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6948244428496 = 247219466450351
BaseRepresentation
bin110010100011100001110…
…1001000001011011010000
3220121020122002201112101121
41211013003221001123100
51402320001033202441
622435551320012024
71314664655111200
oct145070351013320
926536562645347
106948244428496
112239808926458
12942749001014
133b52a7c52cc7
141a04226b6400
15c0b16b79dd1
hex651c3a416d0

6948244428496 has 60 divisors (see below), whose sum is σ = 16484355439680. Its totient is φ = 2821091716800.

The previous prime is 6948244428491. The next prime is 6948244428497.

6948244428496 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948244428491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233210280 + ... + 233240071.

It is an arithmetic number, because the mean of its divisors is an integer number (274739257328).

Almost surely, 26948244428496 is an apocalyptic number.

It is an amenable number.

6948244428496 is an abundant number, since it is smaller than the sum of its proper divisors (9536111011184).

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

6948244428496 is a wasteful number, since it uses less digits than its factorization.

6948244428496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466450392 (or 466450379 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 70.

The spelling of 6948244428496 in words is "six trillion, nine hundred forty-eight billion, two hundred forty-four million, four hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 466450351 932900702 1865801404 3265152457 3731602808 6530304914 7463205616 8862556669 13060609828 17725113338 22856067199 26121219656 35450226676 45712134398 52242439312 62037896683 70900453352 91424268796 124075793366 141800906704 182848537592 248151586732 365697075184 434265276781 496303173464 868530553562 992606346928 1737061107124 3474122214248 6948244428496