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10424313045104 = 2471031553581863
BaseRepresentation
bin1001011110110001100101…
…1110011110000001110000
31100220112222022002021200012
42113230121132132001300
52331242443114420404
634100510250114052
72124063123616610
oct227543136360160
940815868067605
1010424313045104
113359a20a53022
12120437541b928
135a80158aa58a
1428077a338a40
15131261066a6e
hex97b1979e070

10424313045104 has 80 divisors (see below), whose sum is σ = 23321555991552. Its totient is φ = 4421331938304.

The previous prime is 10424313045053. The next prime is 10424313045143. The reversal of 10424313045104 is 40154031342401.

10424313045104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 17624477 + ... + 18206339.

Almost surely, 210424313045104 is an apocalyptic number.

10424313045104 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 10424313045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660777995776).

10424313045104 is an abundant number, since it is smaller than the sum of its proper divisors (12897242946448).

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

10424313045104 is a wasteful number, since it uses less digits than its factorization.

10424313045104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583534 (or 583528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 10424313045104 its reverse (40154031342401), we get a palindrome (50578344387505).

The spelling of 10424313045104 in words is "ten trillion, four hundred twenty-four billion, three hundred thirteen million, forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1553 1648 2884 3106 5768 6212 10871 11536 12424 21742 24848 43484 86968 159959 173936 319918 581863 639836 1119713 1163726 1279672 2239426 2327452 2559344 4073041 4478852 4654904 8146082 8957704 9309808 16292164 17915408 32584328 59931889 65168656 119863778 239727556 419523223 479455112 839046446 903633239 958910224 1678092892 1807266478 3356185784 3614532956 6325432673 6712371568 7229065912 12650865346 14458131824 25301730692 50603461384 93074223617 101206922768 186148447234 372296894468 651519565319 744593788936 1303039130638 1489187577872 2606078261276 5212156522552 10424313045104