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11278472970240 = 22134572271
BaseRepresentation
bin1010010000011111100101…
…1000000000000000000000
31110221012201011200021210000
42210013321120000000000
52434241303040021430
635553131533440000
72242562034316200
oct244077130000000
943835634607700
1011278472970240
11365919aa65123
121321a15940000
1363a72b3b0a18
142adc49694400
151485a4013e60
hexa41f9600000

11278472970240 has 1320 divisors, whose sum is σ = 47210671914912. Its totient is φ = 2568423997440.

The previous prime is 11278472970209. The next prime is 11278472970269. The reversal of 11278472970240 is 4207927487211.

It is a happy number.

11278472970240 is a `hidden beast` number, since 1 + 1 + 2 + 78 + 47 + 297 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41617981305 + ... + 41617981575.

Almost surely, 211278472970240 is an apocalyptic number.

11278472970240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11278472970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605335957456).

11278472970240 is an abundant number, since it is smaller than the sum of its proper divisors (35932198944672).

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

11278472970240 is an frugal number, since it uses more digits than its factorization.

11278472970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 11278472970240 in words is "eleven trillion, two hundred seventy-eight billion, four hundred seventy-two million, nine hundred seventy thousand, two hundred forty".