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11298507031448 = 2373133374
BaseRepresentation
bin1010010001101010001101…
…1111111000001110011000
31111000010102101022001012222
42210122203133320032120
52440103320300001243
640010243521123212
72244201352115000
oct244324337701630
944003371261188
1011298507031448
1136667407388aa
121325887189508
1363c5a1b53000
142b0bca2c5000
15148d77c5c168
hexa46a37f8398

11298507031448 has 320 divisors, whose sum is σ = 27506435880000. Its totient is φ = 4348935287424.

The previous prime is 11298507031439. The next prime is 11298507031453. The reversal of 11298507031448 is 84413070589211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11298507031448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112985070314482 (a number of 27 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11298507031448 = 29603 + 224223 = 173163 + 182783.

It is a self number, because there is not a number n which added to its sum of digits gives 11298507031448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305365054886 + ... + 305365054922.

It is an arithmetic number, because the mean of its divisors is an integer number (85957612125).

Almost surely, 211298507031448 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 11298507031448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753217940000).

11298507031448 is an abundant number, since it is smaller than the sum of its proper divisors (16207928848552).

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

11298507031448 is an frugal number, since it uses more digits than its factorization.

11298507031448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 11298507031448 in words is "eleven trillion, two hundred ninety-eight billion, five hundred seven million, thirty-one thousand, four hundred forty-eight".