Search a number
-
+
426691196624 = 247111787193811
BaseRepresentation
bin1100011010110001100…
…01101111011011010000
31111210100211202122102202
412031120301233123100
523442330421242444
6524004053102332
742553543220540
oct6153061573320
91453324678382
10426691196624
11154a60069490
126a8420279a8
133131035b104
141691adbd320
15b174cd134e
hex6358c6f6d0

426691196624 has 80 divisors (see below), whose sum is σ = 1031290707456. Its totient is φ = 166149436800.

The previous prime is 426691196593. The next prime is 426691196639.

426691196624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 426691196624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104679 + ... + 2298489.

Almost surely, 2426691196624 is an apocalyptic number.

426691196624 is a gapful number since it is divisible by the number (44) 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 426691196624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515645353728).

426691196624 is an abundant number, since it is smaller than the sum of its proper divisors (604599510832).

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

426691196624 is a wasteful number, since it uses less digits than its factorization.

426691196624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195624 (or 195618 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 56.

The spelling of 426691196624 in words is "four hundred twenty-six billion, six hundred ninety-one million, one hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1787 3574 7148 12509 14296 19657 25018 28592 39314 50036 78628 100072 137599 157256 193811 200144 275198 314512 387622 550396 775244 1100792 1356677 1550488 2131921 2201584 2713354 3100976 4263842 5426708 8527684 10853416 14923447 17055368 21706832 29846894 34110736 59693788 119387576 238775152 346340257 692680514 1385361028 2424381799 2770722056 3809742827 4848763598 5541444112 7619485654 9697527196 15238971308 19395054392 26668199789 30477942616 38790108784 53336399578 60955885232 106672799156 213345598312 426691196624