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1020426063360 = 29351183269541
BaseRepresentation
bin11101101100101100010…
…00100000111000000000
310121112220020122221210020
432312112020200320000
5113204313033011420
62100435515533440
7133503052266114
oct16662610407000
93545806587706
101020426063360
1136383aa016a0
1214592275a280
13752c200bc72
1437563159744
151b824ae3340
hexed96220e00

1020426063360 has 640 divisors, whose sum is σ = 3621683197440. Its totient is φ = 243036979200.

The previous prime is 1020426063359. The next prime is 1020426063383. The reversal of 1020426063360 is 633606240201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886184690 + ... + 1886185230.

It is an arithmetic number, because the mean of its divisors is an integer number (5658879996).

Almost surely, 21020426063360 is an apocalyptic number.

1020426063360 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 1020426063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810841598720).

1020426063360 is an abundant number, since it is smaller than the sum of its proper divisors (2601257134080).

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

1020426063360 is a wasteful number, since it uses less digits than its factorization.

1020426063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 1020426063360 in words is "one trillion, twenty billion, four hundred twenty-six million, sixty-three thousand, three hundred sixty".