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15630601434 = 23721812391229
BaseRepresentation
bin11101000111010100…
…00000110011011010
31111100022201211020020
432203222000303122
5224002413221214
611103002011310
71062224630400
oct164352006332
944308654206
1015630601434
1166a1081228
1230427a6b36
13162139a5b6
14a83c95470
156173794a9
hex3a3a80cda

15630601434 has 96 divisors (see below), whose sum is σ = 36748857600. Its totient is φ = 4419031680.

The previous prime is 15630601433. The next prime is 15630601463. The reversal of 15630601434 is 43410603651.

It is a junction number, because it is equal to n+sod(n) for n = 15630601395 and 15630601404.

It is not an unprimeable number, because it can be changed into a prime (15630601433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12717532 + ... + 12718760.

It is an arithmetic number, because the mean of its divisors is an integer number (382800600).

Almost surely, 215630601434 is an apocalyptic number.

15630601434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15630601434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374428800).

15630601434 is an abundant number, since it is smaller than the sum of its proper divisors (21118256166).

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

15630601434 is a wasteful number, since it uses less digits than its factorization.

15630601434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 15630601434 in words is "fifteen billion, six hundred thirty million, six hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 239 294 362 478 543 717 1086 1229 1267 1434 1673 2458 2534 3346 3687 3801 5019 7374 7602 8603 8869 10038 11711 17206 17738 23422 25809 26607 35133 43259 51618 53214 60221 70266 86518 120442 129777 180663 222449 259554 293731 302813 361326 444898 587462 605626 667347 881193 908439 1334694 1557143 1762386 1816878 2056117 2119691 3114286 4112234 4239382 4671429 6168351 6359073 9342858 10900001 12336702 12718146 14392819 21800002 28785638 32700003 43178457 53165311 65400006 86356914 106330622 159495933 318991866 372157177 744314354 1116471531 2232943062 2605100239 5210200478 7815300717 15630601434