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11426076480 = 2635713210061
BaseRepresentation
bin10101010010000110…
…00001011101000000
31002111022011211021210
422221003001131000
5141400033421410
65125444250120
7553102022220
oct125103013500
932438154253
1011426076480
1149337a4415
12226a6a0940
131101299100
147a5702080
1546d1a4220
hex2a90c1740

11426076480 has 336 divisors, whose sum is σ = 44899380864. Its totient is φ = 2410536960.

The previous prime is 11426076463. The next prime is 11426076481. The reversal of 11426076480 is 8467062411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426076481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130650 + ... + 1140710.

Almost surely, 211426076480 is an apocalyptic number.

11426076480 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 11426076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22449690432).

11426076480 is an abundant number, since it is smaller than the sum of its proper divisors (33473304384).

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

11426076480 is a wasteful number, since it uses less digits than its factorization.

11426076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11426076480 in words is "eleven billion, four hundred twenty-six million, seventy-six thousand, four hundred eighty".