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19818975633480 = 233252371103327307
BaseRepresentation
bin1001000000110011101110…
…00000001010000001001000
32121011200020111011212201100
410200121313000022001020
510044203230230232410
6110052413421421400
74113605456214312
oct440316700120110
977150214155640
1019818975633480
1163511a907a161
122281072a0a860
13b09bc938056a
144c735a3b07b2
1524580c7868c0
hex12067700a048

19818975633480 has 384 divisors, whose sum is σ = 68820775096320. Its totient is φ = 4935669742080.

The previous prime is 19818975633467. The next prime is 19818975633533. The reversal of 19818975633480 is 8433657981891.

19818975633480 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 8 + 97 + 56 + 3 + 3 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19818975633399 and 19818975633408.

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, 60387987 + ... + 60715293.

It is an arithmetic number, because the mean of its divisors is an integer number (179220768480).

Almost surely, 219818975633480 is an apocalyptic number.

19818975633480 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 19818975633480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410387548160).

19818975633480 is an abundant number, since it is smaller than the sum of its proper divisors (49001799462840).

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

19818975633480 is a wasteful number, since it uses less digits than its factorization.

19818975633480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327521 (or 327514 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 19818975633480 in words is "nineteen trillion, eight hundred eighteen billion, nine hundred seventy-five million, six hundred thirty-three thousand, four hundred eighty".