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10419234644 = 2271323835749
BaseRepresentation
bin10011011010000100…
…01110011101010100
3222220010121221221102
421231002032131110
5132314311002034
64441520205232
7516125014250
oct115502163524
928803557842
1010419234644
114467428225
122029469818
13ca0804a00
1470bad3260
1540eac097e
hex26d08e754

10419234644 has 72 divisors (see below), whose sum is σ = 22627584000. Its totient is φ = 4110417792.

The previous prime is 10419234629. The next prime is 10419234671. The reversal of 10419234644 is 44643291401.

It is a junction number, because it is equal to n+sod(n) for n = 10419234598 and 10419234607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809482 + ... + 1815230.

It is an arithmetic number, because the mean of its divisors is an integer number (314272000).

Almost surely, 210419234644 is an apocalyptic number.

10419234644 is a gapful number since it is divisible by the number (14) 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 10419234644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313792000).

10419234644 is an abundant number, since it is smaller than the sum of its proper divisors (12208349356).

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

10419234644 is a wasteful number, since it uses less digits than its factorization.

10419234644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 10419234644 in words is "ten billion, four hundred nineteen million, two hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 383 676 766 1183 1532 2366 2681 4732 4979 5362 5749 9958 10724 11498 19916 22996 34853 40243 64727 69706 74737 80486 129454 139412 149474 160972 258908 298948 453089 523159 906178 971581 1046318 1812356 1943162 2092636 2201867 3886324 4403734 6801067 8807468 13602134 15413069 27204268 28624271 30826138 57248542 61652276 114497084 200369897 372115523 400739794 744231046 801479588 1488462092 2604808661 5209617322 10419234644