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1426060496448 = 2633741137139151
BaseRepresentation
bin10100110000000111110…
…101000100111001000000
312001022220121102011221000
4110300013311010321000
5141331032441341243
63011042333332000
7205013052134550
oct24600765047100
95038817364830
101426060496448
114aa874a77a65
121b0468937000
13a4627a6c483
144d04376b160
1527165eb35d3
hex14c07d44e40

1426060496448 has 896 divisors, whose sum is σ = 5012492083200. Its totient is φ = 389173248000.

The previous prime is 1426060496429. The next prime is 1426060496449. The reversal of 1426060496448 is 8446940606241.

1426060496448 is a `hidden beast` number, since 1 + 4 + 26 + 0 + 604 + 9 + 6 + 4 + 4 + 8 = 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 = 1426060496394 and 1426060496403.

It is not an unprimeable number, because it can be changed into a prime (1426060496449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9444109173 + ... + 9444109323.

It is an arithmetic number, because the mean of its divisors is an integer number (5594299200).

Almost surely, 21426060496448 is an apocalyptic number.

1426060496448 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 1426060496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506246041600).

1426060496448 is an abundant number, since it is smaller than the sum of its proper divisors (3586431586752).

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

1426060496448 is a wasteful number, since it uses less digits than its factorization.

1426060496448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1426060496448 in words is "one trillion, four hundred twenty-six billion, sixty million, four hundred ninety-six thousand, four hundred forty-eight".