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1359428101920 = 25335745798369
BaseRepresentation
bin10011110010000100001…
…110101010011100100000
311210221220212210211022000
4103302010032222130200
5134233102043230140
62520302422044000
7200133616131630
oct23620416523440
94727825724260
101359428101920
114845917a5809
1219b571879600
139b269217aa5
1449b220cc6c0
152556635ba30
hex13c843aa720

1359428101920 has 384 divisors, whose sum is σ = 5449666521600. Its totient is φ = 310043344896.

The previous prime is 1359428101907. The next prime is 1359428101921. The reversal of 1359428101920 is 291018249531.

1359428101920 is a `hidden beast` number, since 1 + 3 + 594 + 28 + 1 + 0 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1359428101921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13770496 + ... + 13868864.

It is an arithmetic number, because the mean of its divisors is an integer number (14191839900).

Almost surely, 21359428101920 is an apocalyptic number.

1359428101920 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 1359428101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724833260800).

1359428101920 is an abundant number, since it is smaller than the sum of its proper divisors (4090238419680).

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

1359428101920 is a wasteful number, since it uses less digits than its factorization.

1359428101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98857 (or 98843 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1359428101920 in words is "one trillion, three hundred fifty-nine billion, four hundred twenty-eight million, one hundred one thousand, nine hundred twenty".