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1630639804248 = 2334721319231353
BaseRepresentation
bin10111101110101001101…
…101001100111101011000
312202212222002110210210000
4113232221231030331120
5203204022242213443
63245034450053000
7225544526433300
oct27565155147530
95685862423700
101630639804248
11579606727964
12224041b7a160
13ba9cba12420
1458ccdac0600
152c63b48e8d3
hex17ba9b4cf58

1630639804248 has 1440 divisors, whose sum is σ = 6251118572160. Its totient is φ = 393164513280.

The previous prime is 1630639804231. The next prime is 1630639804271. The reversal of 1630639804248 is 8424089360361.

1630639804248 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 6 + 398 + 0 + 4 + 248 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1630639804194 and 1630639804203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4619376040 + ... + 4619376392.

It is an arithmetic number, because the mean of its divisors is an integer number (4341054564).

Almost surely, 21630639804248 is an apocalyptic number.

1630639804248 is a gapful number since it is divisible by the number (18) 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 1630639804248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125559286080).

1630639804248 is an abundant number, since it is smaller than the sum of its proper divisors (4620478767912).

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

1630639804248 is a wasteful number, since it uses less digits than its factorization.

1630639804248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1630639804248 in words is "one trillion, six hundred thirty billion, six hundred thirty-nine million, eight hundred four thousand, two hundred forty-eight".