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10419391032 = 2335973100799
BaseRepresentation
bin10011011010000101…
…10100101000111000
3222220010220220110120
421231002310220320
5132314331003112
64441523413240
7516126235221
oct115502645070
928803826416
1010419391032
114467524776
122029524220
13ca085ac4b
1470bb34248
1540eb01e8c
hex26d0b4a38

10419391032 has 64 divisors (see below), whose sum is σ = 26853120000. Its totient is φ = 3367459584.

The previous prime is 10419391007. The next prime is 10419391043. The reversal of 10419391032 is 23019391401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10419390984 and 10419391002.

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, 52969 + ... + 153767.

It is an arithmetic number, because the mean of its divisors is an integer number (419580000).

Almost surely, 210419391032 is an apocalyptic number.

10419391032 is a gapful number since it is divisible by the number (12) 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 10419391032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560000).

10419391032 is an abundant number, since it is smaller than the sum of its proper divisors (16433728968).

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

10419391032 is a wasteful number, since it uses less digits than its factorization.

10419391032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100940 (or 100936 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 10419391032 in words is "ten billion, four hundred nineteen million, three hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 73 118 146 177 219 236 292 354 438 472 584 708 876 1416 1752 4307 8614 12921 17228 25842 34456 51684 100799 103368 201598 302397 403196 604794 806392 1209588 2419176 5947141 7358327 11894282 14716654 17841423 22074981 23788564 29433308 35682846 44149962 47577128 58866616 71365692 88299924 142731384 176599848 434141293 868282586 1302423879 1736565172 2604847758 3473130344 5209695516 10419391032