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80630890179840 = 2835571113258971
BaseRepresentation
bin10010010101010101010111…
…100100010010110100000000
3101120111020102101000210200000
4102111111113210102310000
541032024030341223330
6443253153010400000
722661250424142610
oct2225252744226400
9346436371023600
1080630890179840
1123767406510a90
129062981b90000
1335cb5ca420440
1415ca7ad5a4a40
1594c5db61c560
hex495557912d00

80630890179840 has 1728 divisors, whose sum is σ = 388441492088832. Its totient is φ = 15465605529600.

The previous prime is 80630890179823. The next prime is 80630890179841. The reversal of 80630890179840 is 4897109803608.

80630890179840 is a `hidden beast` number, since 80 + 6 + 308 + 9 + 0 + 179 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80630890179841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311221555 + ... + 311480525.

It is an arithmetic number, because the mean of its divisors is an integer number (224792530144).

Almost surely, 280630890179840 is an apocalyptic number.

80630890179840 is a gapful number since it is divisible by the number (80) 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 80630890179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194220746044416).

80630890179840 is an abundant number, since it is smaller than the sum of its proper divisors (307810601908992).

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

80630890179840 is a wasteful number, since it uses less digits than its factorization.

80630890179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259038 (or 259012 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 80630890179840 in words is "eighty trillion, six hundred thirty billion, eight hundred ninety million, one hundred seventy-nine thousand, eight hundred forty".