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19413410712 = 23317375472351
BaseRepresentation
bin10010000101001000…
…010010001110011000
31212002221202110000120
4102011020102032120
5304224313120322
612530212433240
71255040161023
oct220510221630
955087673016
1019413410712
118262400893
123919618820
131aa4cc6197
14d224301ba
157894eba5c
hex485212398

19413410712 has 128 divisors (see below), whose sum is σ = 52896291840. Its totient is φ = 5912524800.

The previous prime is 19413410711. The next prime is 19413410761. The reversal of 19413410712 is 21701431491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19413410711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8256337 + ... + 8258687.

It is an arithmetic number, because the mean of its divisors is an integer number (413252280).

Almost surely, 219413410712 is an apocalyptic number.

19413410712 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 19413410712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26448145920).

19413410712 is an abundant number, since it is smaller than the sum of its proper divisors (33482881128).

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

19413410712 is a wasteful number, since it uses less digits than its factorization.

19413410712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 19413410712 in words is "nineteen billion, four hundred thirteen million, four hundred ten thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 547 629 888 1094 1258 1641 1887 2188 2351 2516 3282 3774 4376 4702 5032 6564 7053 7548 9299 9404 13128 14106 15096 18598 18808 20239 27897 28212 37196 39967 40478 55794 56424 60717 74392 79934 80956 86987 111588 119901 121434 159868 161912 173974 223176 239802 242868 260961 319736 344063 347948 479604 485736 521922 688126 695896 959208 1032189 1043844 1285997 1376252 1478779 2064378 2087688 2571994 2752504 2957558 3857991 4128756 4436337 5143988 5915116 7715982 8257512 8872674 10287976 11830232 15431964 17745348 21861949 30863928 35490696 43723898 47581889 65585847 87447796 95163778 131171694 142745667 174895592 190327556 262343388 285491334 380655112 524686776 570982668 808892113 1141965336 1617784226 2426676339 3235568452 4853352678 6471136904 9706705356 19413410712