Search a number
-
+
1601385026640 = 2435723927114717
BaseRepresentation
bin10111010011011001111…
…111000101010001010000
312200002110021110010100020
4113103121333011101100
5202214114031323030
63223355514423440
7223460546064420
oct27233177052120
95602407403306
101601385026640
11568164110503
1221a438731b80
13b8018b61329
1457716622480
152b9c7ebc510
hex174d9fc5450

1601385026640 has 320 divisors, whose sum is σ = 5718628270080. Its totient is φ = 363129661440.

The previous prime is 1601385026627. The next prime is 1601385026653. The reversal of 1601385026640 is 466205831061.

It is an interprime number because it is at equal distance from previous prime (1601385026627) and next prime (1601385026653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1601385026592 and 1601385026601.

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, 108804562 + ... + 108819278.

It is an arithmetic number, because the mean of its divisors is an integer number (17870713344).

Almost surely, 21601385026640 is an apocalyptic number.

1601385026640 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 1601385026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859314135040).

1601385026640 is an abundant number, since it is smaller than the sum of its proper divisors (4117243243440).

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

1601385026640 is a wasteful number, since it uses less digits than its factorization.

1601385026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15244 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1601385026640 in words is "one trillion, six hundred one billion, three hundred eighty-five million, twenty-six thousand, six hundred forty".