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13047977041920 = 21334537106291
BaseRepresentation
bin1011110111011111100000…
…0010010110000000000000
31201012101002221202210010000
42331313320002112000000
53202234224110320140
643430054035040000
72514454014623232
oct275677002260000
951171087683100
1013047977041920
114180685975467
121568951140000
1373855a5a3112
1433174dc02252
1517961b631a30
hexbddf8096000

13047977041920 has 560 divisors, whose sum is σ = 48041242091568. Its totient is φ = 3385389219840.

The previous prime is 13047977041903. The next prime is 13047977041921. The reversal of 13047977041920 is 2914077974031.

It is a happy number.

13047977041920 is a `hidden beast` number, since 1 + 30 + 47 + 97 + 70 + 419 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047977041921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122703975 + ... + 122810265.

Almost surely, 213047977041920 is an apocalyptic number.

13047977041920 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 13047977041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24020621045784).

13047977041920 is an abundant number, since it is smaller than the sum of its proper divisors (34993265049648).

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

13047977041920 is an equidigital number, since it uses as much as digits as its factorization.

13047977041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106371 (or 106338 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 13047977041920 in words is "thirteen trillion, forty-seven billion, nine hundred seventy-seven million, forty-one thousand, nine hundred twenty".