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11980986314490 = 235552319334877
BaseRepresentation
bin1010111001011000101001…
…1011101110111011111010
31120102101000112110210200000
42232112022123232323322
53032244024444030430
641251553352453430
72344412003240034
oct256261233567372
946371015423600
1011980986314490
1138aa120481526
121415bb40aa276
1368ba5746cbbb
142d5c506c0c54
1515b9bda80e60
hexae58a6eeefa

11980986314490 has 192 divisors, whose sum is σ = 32389440160896. Its totient is φ = 3186517646592.

The previous prime is 11980986314461. The next prime is 11980986314597. The reversal of 11980986314490 is 9441368908911.

11980986314490 is a `hidden beast` number, since 1 + 1 + 9 + 80 + 9 + 8 + 63 + 1 + 4 + 490 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2456627932 + ... + 2456632808.

It is an arithmetic number, because the mean of its divisors is an integer number (168695000838).

Almost surely, 211980986314490 is an apocalyptic number.

11980986314490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11980986314490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194720080448).

11980986314490 is an abundant number, since it is smaller than the sum of its proper divisors (20408453846406).

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

11980986314490 is a wasteful number, since it uses less digits than its factorization.

11980986314490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 11980986314490 in words is "eleven trillion, nine hundred eighty billion, nine hundred eighty-six million, three hundred fourteen thousand, four hundred ninety".