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10977349240 = 23511133121997
BaseRepresentation
bin10100011100100110…
…10000111001111000
31001100000211010020101
422032103100321320
5134440200133430
65013134405144
7536012633434
oct121623207170
931300733211
1010977349240
114723477a60
1221643607b4
13105c326830
14761c959c4
15443ab7dca
hex28e4d0e78

10977349240 has 192 divisors, whose sum is σ = 29998291680. Its totient is φ = 3564057600.

The previous prime is 10977349223. The next prime is 10977349249. The reversal of 10977349240 is 4294377901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10977349249) 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, 5495922 + ... + 5497918.

Almost surely, 210977349240 is an apocalyptic number.

10977349240 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 10977349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999145840).

10977349240 is an abundant number, since it is smaller than the sum of its proper divisors (19020942440).

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

10977349240 is a wasteful number, since it uses less digits than its factorization.

10977349240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 10977349240 in words is "ten billion, nine hundred seventy-seven million, three hundred forty-nine thousand, two hundred forty".